Answer
$(4b-1)(3b+2)$
Work Step by Step
For the polynomial
$$
12b^2 +5b -2
$$
we check the factors of $ac=12(-2)=-24$. The only factors that can give the right middle term are $-3$ and $8$, as follows
$$
12b^2 +5b -2 =(4b-1)(3b+2)
.$$
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: 23
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