Answer
See below.
Work Step by Step
The statement is true because $f(x)$ and $k\cdot f(x)$, $k\ne0$ have always the same x-intercepts because they will both satisfy $f(x)=0$ at the same points, the constant factor doesn't make a difference.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.2 - Page 364: 106
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