Answer
$(2x-5)(7x-8)$
Work Step by Step
For the polynomial
$$
14x^2 -51x +40
$$
we check the factors of $ac=14(40)=560$. The only factors that can give the right middle term are $-16$ and $-35$, as follows
$$
14x^2 -51x +40
=(2x-5)(7x-8)
.$$
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: 35
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