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Tiny demo question for the polynomials extension.

It's important to wrap the student's answer in polynomial() in the marking script, otherwise the marking doesn't work.

Try to answer the following questions here:

  • What is this question used for?
  • What does this question assess?
  • What does the student have to do?
  • How is the question randomised?
  • Are there any implementation details that editors should be aware of?

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Licence information

  • England schools
  • England university
  • Scotland schools

Taxonomy: mathcentre

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Taxonomy: Kind of activity

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Taxonomy: Context

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          History

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Comment

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Checkpoint description

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Describe what's changed since the last checkpoint.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Christian Lawson-Perfect 8 years, 9 months ago

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Published this.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Picture of Christian Lawson-Perfect

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Christian Lawson-Perfect commented 10 years ago

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Not really a working question, but can be expanded.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Picture of Christian Lawson-Perfect

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Christian Lawson-Perfect 10 years ago

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Gave some feedback: Has some problems

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Christian Lawson-Perfect 10 years, 3 months ago

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Created this.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          There is only one version of this question that you have access to.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          There are 3 other versions that do you not have access to.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Give any introductory information the student needs.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Name Type Generated Value
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          p1m polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          mod_polynomial(x + 1,3)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          p2m polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          mod_polynomial(x^2,3)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          qm polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          mod_polynomial(x + 2,3)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          big_power polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          polynomial(x^123 + 492*x^122 + 120048*x^121 + 19367744*x^120 + 2324129280*x^119 + 221257107456*x^118 + 17405559119872*x^117 + 1163685952585728*x^116 + 67493785249972220*x^115 + 3449682357220802600*x^114 + 157305515489268600000*x^113 + 6463826636468128000000*x^112 + 241316194428143440000000*x^111 + 8241876178930437000000000*x^110 + 259030394194956560000000000*x^109 + 7529150124600072000000000000*x^108 + 203287053364201900000000000000*x^107 + 5118050519992848000000000000000*x^106 + 120558523359831560000000000000000*x^105 + 2664977884796276000000000000000000*x^104 + 55431540003762550000000000000000000*x^103 + 1087514022930960500000000000000000000*x^102 + 20168441879810536000000000000000000000*x^101 + 354263066062759000000000000000000000000*x^100 + 5904384434379315000000000000000000000000*x^99 + 93525449440568370000000000000000000000000*x^98 + 1410076006950107800000000000000000000000000*x^97 + 20263314470245998000000000000000000000000000*x^96 + 277896884163373700000000000000000000000000000*x^95 + 3641407447658000000000000000000000000000000000*x^94 + 45638973343980260000000000000000000000000000000*x^93 + 547667680127763100000000000000000000000000000000*x^92 + 6298178321469275000000000000000000000000000000000*x^91 + 69470815424691390000000000000000000000000000000000*x^90 + 735573339790850000000000000000000000000000000000000*x^89 + 7481831684729790000000000000000000000000000000000000*x^88 + 73155687584024620000000000000000000000000000000000000*x^87 + 688058899438934400000000000000000000000000000000000000*x^86 + 6228743721236669000000000000000000000000000000000000000*x^85 + 54301868338986350000000000000000000000000000000000000000*x^84 + 456135694047485300000000000000000000000000000000000000000*x^83 + 3693586595701588000000000000000000000000000000000000000000*x^82 + 28845152461669545000000000000000000000000000000000000000000*x^81 + 217344869711184470000000000000000000000000000000000000000000*x^80 + 1580689961535886700000000000000000000000000000000000000000000*x^79 + 11099956174340892000000000000000000000000000000000000000000000*x^78 + 75286659269442580000000000000000000000000000000000000000000000*x^77 + 493367894786985400000000000000000000000000000000000000000000000*x^76 + 3124663333650908000000000000000000000000000000000000000000000000*x^75 + 19130591838679030000000000000000000000000000000000000000000000000*x^74 + 113253103684979860000000000000000000000000000000000000000000000000*x^73 + 648429534823806100000000000000000000000000000000000000000000000000*x^72 + 3591302039024157000000000000000000000000000000000000000000000000000*x^71 + 19243958095903030000000000000000000000000000000000000000000000000000*x^70 + 99783486423200900000000000000000000000000000000000000000000000000000*x^69 + 500731677323699100000000000000000000000000000000000000000000000000000*x^68 + 2432125289857967200000000000000000000000000000000000000000000000000000*x^67 + 11435255748805883000000000000000000000000000000000000000000000000000000*x^66 + 52050129615254366000000000000000000000000000000000000000000000000000000*x^65 + 229373452541798900000000000000000000000000000000000000000000000000000000*x^64 + 978660064178342300000000000000000000000000000000000000000000000000000000*x^63 + 4042989117589217000000000000000000000000000000000000000000000000000000000*x^62 + 16171956470356868000000000000000000000000000000000000000000000000000000000*x^61 + 62634244107413910000000000000000000000000000000000000000000000000000000000*x^60 + 234878415402802100000000000000000000000000000000000000000000000000000000000*x^59 + 852789323616327500000000000000000000000000000000000000000000000000000000000*x^58 + 2997683683014969300000000000000000000000000000000000000000000000000000000000*x^57 + 10201072831752431000000000000000000000000000000000000000000000000000000000000*x^56 + 33603534034008010000000000000000000000000000000000000000000000000000000000000*x^55 + 107141702717126970000000000000000000000000000000000000000000000000000000000000*x^54 + 330608682669991800000000000000000000000000000000000000000000000000000000000000*x^53 + 987169587690679700000000000000000000000000000000000000000000000000000000000000*x^52 + 2851823253328630300000000000000000000000000000000000000000000000000000000000000*x^51 + 7969478680534804000000000000000000000000000000000000000000000000000000000000000*x^50 + 21539131569012980000000000000000000000000000000000000000000000000000000000000000*x^49 + 56288930500353924000000000000000000000000000000000000000000000000000000000000000*x^48 + 142203613895630960000000000000000000000000000000000000000000000000000000000000000*x^47 + 347198433926995070000000000000000000000000000000000000000000000000000000000000000*x^46 + 819032203109834400000000000000000000000000000000000000000000000000000000000000000*x^45 + 1866149323541395000000000000000000000000000000000000000000000000000000000000000000*x^44 + 4105528511791070000000000000000000000000000000000000000000000000000000000000000000*x^43 + 8717912395408198000000000000000000000000000000000000000000000000000000000000000000*x^42 + 17861088810104600000000000000000000000000000000000000000000000000000000000000000000*x^41 + 35291789938038010000000000000000000000000000000000000000000000000000000000000000000*x^40 + 67222457024834320000000000000000000000000000000000000000000000000000000000000000000*x^39 + 123372979951460600000000000000000000000000000000000000000000000000000000000000000000*x^38 + 218054569216535030000000000000000000000000000000000000000000000000000000000000000000*x^37 + 370943405103990560000000000000000000000000000000000000000000000000000000000000000000*x^36 + 606998299261075400000000000000000000000000000000000000000000000000000000000000000000*x^35 + 954828785354500500000000000000000000000000000000000000000000000000000000000000000000*x^34 + 1442852386757911900000000000000000000000000000000000000000000000000000000000000000000*x^33 + 2092928736835652500000000000000000000000000000000000000000000000000000000000000000000*x^32 + 2911900851249603700000000000000000000000000000000000000000000000000000000000000000000*x^31 + 3882534468332805000000000000000000000000000000000000000000000000000000000000000000000*x^30 + 4956426980850390000000000000000000000000000000000000000000000000000000000000000000000*x^29 + 6052058208196266000000000000000000000000000000000000000000000000000000000000000000000*x^28 + 7060734576228977000000000000000000000000000000000000000000000000000000000000000000000*x^27 + 7861436435388963000000000000000000000000000000000000000000000000000000000000000000000*x^26 + 8342748870208694000000000000000000000000000000000000000000000000000000000000000000000*x^25 + 8427019060816862000000000000000000000000000000000000000000000000000000000000000000000*x^24 + 8089938298384189000000000000000000000000000000000000000000000000000000000000000000000*x^23 + 7369052707439063000000000000000000000000000000000000000000000000000000000000000000000*x^22 + 6357614100535664000000000000000000000000000000000000000000000000000000000000000000000*x^21 + 5184850334417434000000000000000000000000000000000000000000000000000000000000000000000*x^20 + 3988346411090333500000000000000000000000000000000000000000000000000000000000000000000*x^19 + 2886803116598718000000000000000000000000000000000000000000000000000000000000000000000*x^18 + 1960847399953846000000000000000000000000000000000000000000000000000000000000000000000*x^17 + 1246146011185621600000000000000000000000000000000000000000000000000000000000000000000*x^16 + 738456895517405600000000000000000000000000000000000000000000000000000000000000000000*x^15 + 406490034229764460000000000000000000000000000000000000000000000000000000000000000000*x^14 + 206940381062425570000000000000000000000000000000000000000000000000000000000000000000*x^13 + 96945043380595770000000000000000000000000000000000000000000000000000000000000000000*x^12 + 41547875734541040000000000000000000000000000000000000000000000000000000000000000000*x^11 + 16177933914334565000000000000000000000000000000000000000000000000000000000000000000*x^10 + 5676468040117391000000000000000000000000000000000000000000000000000000000000000000*x^9 + 1776981299515009400000000000000000000000000000000000000000000000000000000000000000*x^8 + 490201737797244000000000000000000000000000000000000000000000000000000000000000000*x^7 + 117313236395921640000000000000000000000000000000000000000000000000000000000000000*x^6 + 23860319266967113000000000000000000000000000000000000000000000000000000000000000*x^5 + 4010137691927246000000000000000000000000000000000000000000000000000000000000000*x^4 + 534685025590299400000000000000000000000000000000000000000000000000000000000000*x^3 + 53026614108128870000000000000000000000000000000000000000000000000000000000000*x^2 + 3477155023483860400000000000000000000000000000000000000000000000000000000000*x + 113078212145816600000000000000000000000000000000000000000000000000000000000)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          big_power_m polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          mod_polynomial(x^123 + 2*x^120 + x^117 + x^114 + 2*x^111 + x^108 + x^96 + 2*x^93 + x^90 + x^87 + 2*x^84 + x^81 + x^42 + 2*x^39 + x^36 + x^33 + 2*x^30 + x^27 + x^15 + 2*x^12 + x^9 + x^6 + 2*x^3 + 1,3)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Name Type Generated Value
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          p1 polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          polynomial(x + 4)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          p2 polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          polynomial(x^2)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          q polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          polynomial(x - 4)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          r polynomial
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          polynomial(16)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Name Type Generated Value

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Describe what this variable represents, and list any assumptions made about its value.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Generated value: polynomial

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          mod_polynomial(x + 1,3)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ← Depends on:
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • p1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          → Used by:
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • big_power_m
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • qm

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            This variable doesn't seem to be used anywhere.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Gap-fill

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Ask the student a question, and give any hints about how they should answer this part.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            $\var{p2} = $ Gap 0. $(\simplify{{p1}}) + $Gap 1.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Give a worked solution to the whole question.

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Mathematical expression
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Mathematical expression
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