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: 6

Answer

$-3y$

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 numerical coefficient of the third term ($-60$) whose sum is equal to the numerical coefficient of the middle term ($17$). Note that $-60=20(-3)$ and $20+(-3)=17$. Thus, the given trinomial can be factored as $(x+20y)(x-3y)$. Therefore the missing term of the second factor is $-3y$.
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