Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.5 - Integrated Review - Choosing a Factoring Strategy - Page 450: 30

Answer

$4a(3a^2-6a+1)$

Work Step by Step

$12a^3-24a^2+4a$ $4a(3a^2-6a+1)$ The only pairs of numbers whose product is $3$ (the coefficient of $x^2$) are $1$ and $3$ or $−1$ and $−3$. The only pairs of numbers whose product is $1$ (the value for c) are $1$ and $1$ or $−1$ and $−1$. There is no combination of the pairs of numbers to get a value of $−6$, so we are at the factored form of the polynomial.
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