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 5.4 - Factoring Trinomials - Concept and Vocabulary Check - Page 360: 4



Work Step by Step

The leading coefficient of the given trinomial is 1. Thus, it can be factored by looking for the factors of the constant term ($20$) whose sum is equal to the numerical coefficient of the middle term ($-9$). Note that $20=-5(-4)$ and $-5+(-4)=-9$. Thus, the given trinomial can be factored as $(x-5)(x-4)$. Therefore the term of the second factor is $-4$.
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