Answer
True.
Work Step by Step
If we take the GCF to be negative, $-4x$ , then
$-4x^{2}+12x=(-4x)(x)+(-4x)(-3)=-4x(x-3)$
(OK)
If we take the GCF to be positive, $4x $, then
$-4x^{2}+12x=4x(-x)+4x(3)=4x(-x+3)$
(OK)
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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 - Page 428: 114
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