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: 13

Answer

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

Work Step by Step

For the polynomial $$ 15y^2 -y -6 $$ we check the factors of $ac=15(-6)=-90$. The only factors that can give the right middle term are $-10$ and $9$, as follows $$ 15y^2 -y -6 =(5y+3)(3y-2) .$$
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