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# Common Core Standard HSA-APR.B.2 Questions

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $5x^2+2x-8$ divided by $x-3$?
1. $-8$
2. $x-53$
3. $43$
4. $51$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $x^2+6x-2$ divided by $x-5$?
1. $-7$
2. $x-53$
3. $53$
4. $-2$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $4x^2+2x-5$ divided by $x-2$?
1. $-2$
2. $x-15$
3. $15$
4. $x+15$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $x^2-x-2$ divided by $x+6$?
1. $-2$
2. $40$
3. $x-40$
4. $x+2$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $3x^2+x-6$ divided by $x-1$?
1. $-2$
2. $x-4$
3. $-4$
4. $-6$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
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