Answer
Since $P(c)=0$ it indeed factors as shown.
Work Step by Step
Plugging in 1 yields,
$$1-3+3-1=0$$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 53
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