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: 22

Answer

$(4x-5)(x+3)$

Work Step by Step

For the polynomial $$ 4x^2 +7x -15 $$ we check the factors of $ac=4(-15)=-60$. The only factors that can give the right middle term are $-5$ and $12$, as follows $$ 4x^2 +7x -15 =(4x-5)(x+3) .$$
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