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: 100c



Work Step by Step

Step 1: Find the GCF of the polynomial, $-16t^{2}+64t+960$. The GCF is $-16$, so move that to outside of the parenthesis of the polynomial. Step 2: Factor $−16(t^{2}-4t-60)$. Find two integers with a product $−60$ and a sum $−4$. $-10$ and $6$ have a product of $-60$ and a sum of $-4$. $−16(t^{2}-4t-60)=-16(t-10)(t+6)$ Distribute −16 to check your answer and make sure you have the original polynomial, $-16t^{2}+64t+960$.
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