Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 436: 78

Answer

$(a+b)(x-9)(x-4)$

Work Step by Step

First, there is a GCF (of all terms), GCF=$(a+b)$ $...=(a+b)(x^{2}-13x+36)$ Searching for two integer factors of $36$ such that their sum is $-13...$ we find $-9$ and $-4.$ = $(a+b)(x-9)(x-4)$ All are prime, factorization is complete
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