Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 682: 52

Answer

$k=12$.

Work Step by Step

The factor is $x+3$. $x^2-x-k$. Replace the value of $x$ with $-3$ and set equal to zero. $\Rightarrow (-3)^2-(-3)-k=0$ Clear the parentheses. $\Rightarrow 9+3-k=0$ Simplify. $\Rightarrow 12-k=0$ Add $k$ to both sides. $\Rightarrow 12-k+k=0+k$ Simplify. $\Rightarrow 12=k$.
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