Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set - Page 273: 7



Work Step by Step

The leading coefficient of the given trinomial is 1. This means that it can be factored by looking for factors of the constant term (-12) whose sum is equal to the numerical coefficient of the middle term (11). Note that $-12=(12)(-1)$ and that $12 + (-1) = 11$, the numerical coefficient of the middle term. The factors of $-12$ whose sum is $11$ are $12$ and $-1$. Therefore the factored form of the given trinomial is: $=(y+12)(y-1)$
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