Answer
$(3x+2)(x-1)$
Work Step by Step
$3x^{2}-x-2=$
two factors of $ac=-6$ whose sum is $b=-1$ are $-3$ and $+2 .$
Rewrite the middle term and factor in pairs.
$3x^{2}-x-2=3x^{2}-3x+2x-2$
$=3x(x-1)+2(x-1)$
$=(3x+2)(x-1)$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 68: 23
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