Answer
See below.
Work Step by Step
According to the factor theorem, if $x-1$ is a factor then $f(1)=0$. $f(1)=1^3-2\cdot1^2-11\cdot1+12=1-2-11+12=0$, thus it is a factor.
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 3.3 - Page 375: 63
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