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: 52

Answer

$-3x^2(6x^2-3x-2)$

Work Step by Step

Factoring the negative $GCF= -3x^2 ,$ the given expression, $ -18x^4+9x^3+6x^2 ,$ is equivalent to \begin{array}{l}\require{cancel} -3x^2 \left( \dfrac{-18x^4}{-3x^2}+\dfrac{9x^3}{-3x^2}+\dfrac{6x^2}{-3x^2} \right) \\\\= -3x^2(6x^2-3x-2) .\end{array}
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