Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.6 - Factoring Trinomials - Exercise Set - Page 304: 99c



Work Step by Step

Step 1: Find the GCF of the polynomial, $-16t^{2}+80t+576$. The GCF is $-16$. Remove this from inside the parenthesis. $-16t^{2}+80t+576=-16(t^{2}-5t-36)$ Step 2: Factor $-16(t^{2}-5t-36)$. Find two integers with a product $-36$ and a sum $-5$. $-9$ and $4$ have a product of $-36$ and a sum of $5$. $-16(t^{2}-5t-36)=-16(t-9)(t+4)$. Distribute $-16$ to check your answer and make sure you have the original polynomial, $-16t^{2}+80t+576$.
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