Elementary Technical Mathematics

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

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 $$4x^2-4x-3 =(2x+1)(2x-3).$$
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