Answer
See below.
Work Step by Step
If $-4$ is a solution of the equation, then by the Remainder Theorem the synthetic division would have a remainder of $0$. If the remainder is not $0$, $-4$ is not a solution.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.5 - Synthetic Division and the Remainder Theorem - Exercise Set - Page 454: 46
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