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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 11
Standards: HSA-APR.B.2
Author: nsharp1
Created: 7 months ago

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Polynomials and Rational Expressions Question

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2

Given polynomial [math]p(x) = ax^3 - 5x^2 + bx + 4[/math], where [math]x-2[/math] is a factor of [math]p(x)[/math], and where [math](p(x))/(x+3) = q(x) - 110/(x+3)[/math], [math]q(x)[/math] being the quotient of [math]p(x)[/math] divided by [math]x+3[/math], what are the values of [math]a[/math] and [math]b ?[/math]
  1. [math]a = 2, b=-3[/math]
  2. [math]a=-15, b=68[/math]
  3. [math]a=3, b=-4[/math]
  4. [math]a=-31/5, b=164/5[/math]
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