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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.

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$x^2+14x-6$ divided by $(x+7)$ is
1. $(x+7)+8/(x+7)$
2. $(x+7)+20/(x+7)$
3. $(x+7)-20/(x+7)$
4. $(x+7)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$13x^2+5x-8$ divided by $(x+8)$ is
1. $(13x-104)+874/(x+8)$
2. $(13x-99)+784$
3. $(13x-8)$
4. $(13x-99)+784/(x+8)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$4x^2-6x+2$ divided by $(2x-1)$ is
1. $(x-2)+2/(2x-1)$
2. $(2x-2)+2/(2x-1)$
3. $(2x-2)$
4. $(4x-1)+2/(2x-1)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$4x^3-2x^2+7x+5$ divided by $(x+2)$ is
1. $(4x^2-10x+27)-49/(x+2)$
2. $(4x^2-10x+27)$
3. $(4x^2-10x+27)+59/(x+2)$
4. $(4x^2-10x+27)-59/(x+2)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$3x^2-7x-6$ divided by $(x-3)$ is
1. $(3x+2)+6/(x-3)$
2. $3x+2$
3. $x-3$
4. $3x^2-8x-9$
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