Answer
$$(5x-7)(2x-3).$$
Work Step by Step
For the polynomial
$$
10x^2-29x+21
$$
we check the factors of $ac=10(21)=210$. The only factors that can give the right middle term are $-14$ and $-15$, as follows
$$10x^2-29x+21 =(5x-7)(2x-3).$$
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: 3
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