Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set: 43

Answer

$(x+3)(2x+1)$

Work Step by Step

The $GCF$ for the two terms is a binomial, $(x+3)$. Even though it is a binomial, we can factor it out just like we would factor out a number or a variable. Thus, we factor out the binomial to obtain: $=(x+3)[(x+2) + (x-1)] \\=(x+3)(x+2+x-1) \\=(x+3)(2x+1)$
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