Answer
$$(2x+1)(2x-3).$$
Work Step by Step
For the polynomial
$$
4x^2-4x-3
$$
we check the factors of $ac=4(-3)=-12$.
The only factors that can give the right middle term are $2$ and $-6$, as follows
$$4x^2-4x-3 =(2x+1)(2x-3).$$
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: 2
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