Intermediate Algebra (6th Edition)

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

Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 296: 100b

Answer

For both expressions, $h(2)=160$.

Work Step by Step

Find $h(1)$ by substituting 1 to t in the original expression to have: $h(2)=-16(2^2)+224 \\h(2)=-16(4)+224 \\h(2)=-64+224 \\h(2)=160$ Find $h(2)$ using the factored form of $h(t)$ to have: $h(t)=-16(t^2-14) \\h(2)=-16(2^2-14) \\h(2)=-16(4-14) \\h(2)=-16(-10) \\h(2)=160$
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