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 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set: 51

Answer

$-8(x^4-4x^3-2x^2)$

Work Step by Step

Factoring the negative $GCF= -8 ,$ the given expression, $ -8x^4+32x^3+16x^2 ,$ is equivalent to \begin{array}{l}\require{cancel} -8 \left( \dfrac{-8x^4}{-8}+\dfrac{32x^3}{-8}+\dfrac{16x^2}{-8} \right) \\\\= -8(x^4-4x^3-2x^2) .\end{array}
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