Answer
$$(4x-5)(2x+9).$$
Work Step by Step
For the polynomial
$$
8x^2 + 26x - 45
$$
we check the factors of $ac=-45(8)=-360$. The only factors that can give the right middle term are $-45$ and $8$, as follows
$$8x^2 + 26x - 45 =(4x-5)(2x+9).$$
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: 7
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