Answer
$(5x+2)(2x-1)$
Work Step by Step
For the polynomial
$$
10x^2 -x -2
$$
we check the factors of $ac=10(-2)=-20$. The only factors that can give the right middle term are $4$ and $-5$, as follows
$$
10x^2 -x -2=(5x+2)(2x-1)
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 28
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