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: 5

Answer

$+16$

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 ($-48$) whose sum is equal to the numerical coefficient of the middle term ($13$). Note that $-48=-3(16)$ and $-3+16=13$. Thus, the given trinomial can be factored as $(x-3)(x+16)$. Therefore, the term of the second factor is $+16$.
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