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: 28

Answer

$(x-4)(x+16)$

Work Step by Step

The given expression, $ w^2+12w-64 ,$ has $c= -64 $ and $b= 12 .$ The possible factors of $c$ are $ \{ 1,-64 \} ,\{ 2,-32 \} ,\{ 4,-16 \} ,\{ 8,-8 \} ,\{ -1,64 \} ,\{ -2,32 \} ,\{ -4,16 \} $. Among these factors, the pair whose sum is equal to $b$ is $\{ -4,16 \}.$ Hence, the factored form is \begin{array}{l}\require{cancel} (x-4)(x+16) .\end{array}
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