## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Factoring Trinomials - Concept and Vocabulary Check - Page 360: 4

#### Answer

$-4$

#### 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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