Answer
See explanations.
Work Step by Step
Let $f(x)=x^n+c^n$, as $n\ge1$ and is an odd integer, we have $f(-c)=0$, based on the Factor Theorem, $x+c$ is a factor of $f(x)$.
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: 112
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