Dividing polynomials 2

Error

There was an error loading the page.

Contributors

Bill Foster

History

○

Bill Foster 55 years, 2 months ago

Created this.

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

There are 41 other versions that do you not have access to.

Question statement

Simplify the following expression:

$A=\simplify[std]{({m} * x ^ 4 + {m -(p * q)} * x ^ 2 + {( -p) * q}) / (x ^ 4 + {1 + n} * x ^ 2 + {n})}$

Your answer should be as a single algebraic fraction in its lowest form.

Give any introductory information the student needs.

			Name	Type	Generated Value

sq	integer	-1
sp	integer	-1
m	integer	5
n	integer	-4
q	integer	-2
p	integer	-4
sn	integer	-1
sm	integer	1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1,-1)

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: `integer`

-1

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

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

$A=\;\;$ Unnamed gap

Input all numbers as integers or fractions and not as decimals.

Advice

Note that both the numerator and denominator factorize and that they then have a common factor which can then be cancelled.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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

This question is used in the following exams:

MAS0001 Booklet 1: Cancellation by Bill Foster in Bill's workspace.
Maths Support: Factorising quadratics by Christian Lawson-Perfect in Maths Support Wiki.
MLC Support: Factorising quadratics by Paraic Treacy in Paraic's workspace.
Dividing polynomials 1 by Bill Foster in Bill's workspace.
Bradford: Dividing polynomials 1 by Bill Foster in Bill's workspace.
mathcentre: Factorising quadratics by Bill Foster in Bill's workspace.
My First Exam by Zachary Groth in Zachary's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Dividing polynomials 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`