Answer
$k=-\frac{17}{12}$
Work Step by Step
Step 1. Set up a synthetic division as shown in the figure.
Step 2. As $x+2$ is a factor of $f(x)$, the remainder should be zero, thus $12k+17=0$ and $k=-\frac{17}{12}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - 4.5 The Real Zeros of a Polynomial Function - 4.5 Assess Your Understanding - Page 235: 108
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