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: 14

Answer

$(2y-1)(3y+2)$

Work Step by Step

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