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: 1



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 (14) whose sum is equal to the numerical coefficient of the middle term (-9). Note that $14=(-7)(-2)$ and that $(-7) + (-2) = -9$, the numerical coefficient of the middle term. The factors of $14$ whose sum is $-9$ are $-7$ and $-2$. Therefore the factored form of the given trinomial is: $=(x-7)(x-2)$
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