Answer
$(2m+5)(m-6)$
Work Step by Step
For the polynomial
$$
2m^2 -7m -30
$$
we check the factors of $ac=2(-30)=-60$. The only factors that can give the right middle term are $5$ and $-12$, as follows
$$
2m^2 -7m -30=(2m+5)(m-6)
.$$
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: 16
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