Answer
$(2x-1)(7x-1)$
Work Step by Step
$14x^{2}-9x+1=$
Two factors of $ac=14$, whose sum is $b=-9$
are $-7$ and $-2$.
Rewrite $-9x$ as $-7x-2x$ and factor in pairs.
$14x^{2}-9x+1=14x^{2}-7x-2x+1=$
$=7x(2x-1)-(2x-1)$
$=(2x-1)(7x-1)$
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 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 9
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