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

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