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: 25

Answer

$(5y+2)(3y-4)$

Work Step by Step

For the polynomial $$ 15y^2 -14y -8 $$ we check the factors of $ac=15(-8)=-120$. The only factors that can give the right middle term are $6$ and $-20$, as follows $$ 15y^2 -14y -8=(5y+2)(3y-4) .$$
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