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Common Core Standard HSA-APR.D.6 Questions

Rewrite simple rational expressions in different forms; write ^a(x)/_b(x) in the form q(x) + ^r(x)/_b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

You can create printable tests and worksheets from these questions on Common Core standard HSA-APR.D.6! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is

$x^2+14x-6$ divided by

$(x+7) ?$

$(x+7)+8/(x+7)$
$(x+7)-55/(x+7)$
$(x+7)-20/(x+7)$
$(x+7)$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is

$13x^2+5x-8$ divided by

$(x+8) ?$

$(13x-104)+874/(x+8)$
$(13x-99)+784$
$(13x-8)$
$(13x-99)+784/(x+8)$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is

$4x^2-6x+2$ divided by

$(2x-1) ?$

$(x-2)+2/(2x-1)$
$(2x-2)+2/(2x-1)$
$(2x-2)$
$(4x-1)+2/(2x-1)$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is

$4x^3-2x^2+7x+5$ divided by

$(x+2)?$

$(4x^2-10x+27)-49/(x+2)$
$(4x^2-10x+27)$
$(4x^2-10x+27)+59/(x+2)$
$(4x^2-10x+27)-59/(x+2)$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is the remainder of

$x^2-x-2$ divided by

$x+6$ ?

$-2$
$40$
$x-40$
$x+2$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is

$3x^2-7x-6$ divided by

$(x-3) ?$

$(3x+2)+6/(x-3)$
$3x+2$
$x-3$
$3x^2-8x-9$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Perform the division. Write the answer with positive exponents.

$(9x^6+18x^5+15x^4)/(3x^5)$

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