Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 95

Answer

True.

Work Step by Step

If the trinomial $ax^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where the product of integers n and m is $c$ their sum is $b.$ Do we have a pair of factors of $-24$ with sum of $+5?$ ... Yes, they are $+8$ and $-3.$ The trinomial factors to $(y+8)(y-3)$, so the statement is true.
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