Answer
True.
Work Step by Step
True. Based on the Remainder theorem, $f(1)=0$ means that the remainder of the division $f(x)/(x-1)$ is zero, thus $(x-1)$ is a factor of $f(x)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - 3.3 Zeros of Polynomial Functions - 3.3 Exercises - Page 335: 2
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