Answer
True.
Work Step by Step
According to Descartes's Rule of Signs the number of sign changes is either the degree of $f(x)$ or that decreased by an even number thus the statement is true.
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 3.4 - Page 387: 10
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