Answer
$(5b+4)(2b-3)
.$
Work Step by Step
For the polynomial
$$
10b^2 -7b -12
$$
we check the factors of $ac=10(-12)=-120$. The only factors that can give the right middle term are $-15$ and $8$, as follows
$$
10b^2 -7b -12 =(5b+4)(2b-3)
.$$
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: 24
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