Dividing polynomials 2

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Bill Foster

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Bill Foster 55 years, 2 months ago

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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	1
q	integer	5
p	integer	-1
sn	integer	1
sm	integer	1

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Generated value: `integer`

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$A=\;\;$ Unnamed gap

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Advice

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

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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.

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Taxonomy: mathcentre

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Bill Foster 55 years, 2 months ago

Error in variable testing condition

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Generated value: `integer`

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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`