Solving a non-monic quadratic by factorising

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Ben Brawn

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Ben Brawn

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9 years ago

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Ben Brawn 9 years ago

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Ben Brawn 9 years, 1 month ago

Created this as a copy of Factorising a non-monic quadratic.

Name	Status	Author	Last Modified
Factorising a difference of two squares	Ready to use	Ben Brawn	02/06/2016 06:48
Factorising a perfect square	Ready to use	Ben Brawn	09/10/2023 03:18
Factorising a non-monic quadratic	Ready to use	Ben Brawn	09/10/2023 03:18
Factorising a monic quadratic	Ready to use	Ben Brawn	09/10/2023 03:17
Expanding a binomial product (monic factors)	Ready to use	Ben Brawn	25/09/2018 01:14
Expanding a binomial product (difference of two squares, perfect squares)	Ready to use	Ben Brawn	02/06/2016 06:48
Expanding a binomial product (non-monic factors)	Ready to use	Ben Brawn	02/06/2016 06:48
Solving a monic quadratic by factorising	Ready to use	Ben Brawn	21/03/2025 04:21
Solving a difference of two squares by factorising	Ready to use	Ben Brawn	02/06/2016 06:49
Solving a perfect square by factorising	Ready to use	Ben Brawn	05/02/2025 01:18
Solving a non-monic quadratic by factorising	Ready to use	Ben Brawn	02/06/2016 06:49
Heidi's copy of Expanding a binomial product (monic factors)	draft	Heidi Steele	06/09/2017 14:51
Ida's copy of Expanding a binomial product (difference of two squares, perfect squares)	draft	Ida Landgärds	13/04/2018 09:50
spørsmål 5	draft	Ida Landgärds	02/12/2020 15:42
Clare's copy of Solving a non-monic quadratic by factorising	draft	Clare Lundon	19/08/2018 09:09
Clare's copy of Factorising a monic quadratic	draft	Clare Lundon	19/08/2018 09:12
binomial product	Ready to use	heike hoffmann	14/11/2018 22:58
Terry's copy of Expanding a binomial product (monic factors)	draft	Terry Young	03/04/2019 17:30
Terry's copy of Solving a difference of two squares by factorising	draft	Terry Young	03/04/2019 17:38
Terry's copy of Solving a non-monic quadratic by factorising	draft	Terry Young	03/04/2019 17:39
Terry's copy of Solving a perfect square by factorising	draft	Terry Young	03/04/2019 17:39
Terry's copy of Expanding a binomial product (non-monic factors)	draft	Terry Young	03/04/2019 17:40
Verschil van twee kwadraten ontbinden ( of eerst vooropzetten)	draft	Johan Maertens	09/05/2019 12:48
Ontbinden van merkwaardige drieterm	draft	Johan Maertens	09/05/2019 12:55
binomial product	draft	Xiaodan Leng	10/07/2019 23:06
Expanding a binomial product (monic factors)	draft	Xiaodan Leng	10/07/2019 23:27

There are 45 other versions that do you not have access to.

Question statement

Factorise the following into linear factors. That is, write the quadratic as a product of terms that look like $ax+b$ where $a$ and $b$ are real numbers.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	list	[ 4, 2 ]
b	list	[ 4, -4 ]
c	list	[ -4, -5 ]
d	list	[ -4, -4 ]
g_one	number	1
gab_zero	number	4
gcd_zero	number	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(2..6),2)

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `list`

[ 4, 2 ]

→ Used by:

gab_zero

Parts

Part a) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add
1. Step Information only

Gap-fill

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

Solve the following quadratic by factorisation:

	$\simplify{{c[1]}x^2+{d[1]+b[1]c[1]}x+{b[1]d[1]}}$	$=$	0
$\Longrightarrow$	Gap 0.	$=$	0
$\Longrightarrow$	$x$	$=$	Gap 1.

Note: In the first gap, enter the quadratic in factored form.

Note: In the second gap, if $x=1,2$ , enter set(1,2).

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only

This question is used in the following exams:

Solving quadratics by Ben Brawn in Algebra.
practice 3 by haifa abd in NEM1001.
Practice 1 (Linear and quadratic equations) by haifa abd in NEM1001.
practice 1 ( linear and quadratic equations ) by haifa abd in NEM1001.
Algebra by James McNaughton in James's workspace.
Preliminary Mathematics Advanced Assessment Task 1 by Joanna Rankins in Joanna's workspace.
Preliminary Advanced Mathematics Assessment Task by Joanna Rankins in Joanna's workspace.
Algebra by Dean Ang in Dean's workspace.
Algebra by Chris Templet in Chris's workspace.

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Solving a non-monic quadratic by factorising

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Taxonomy: mathcentre

Taxonomy: Kind of activity

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Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

Solving a non-monic quadratic by factorising

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`