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: 15

Answer

$(4m+1)(2m-3)$

Work Step by Step

For the polynomial $$ 8m^2 -10m -3 $$ we check the factors of $ac=8(-3)=-24$. The only factors that can give the right middle term are $2$ and $-12$, as follows $$ 8m^2 -10m -3=(4m+1)(2m-3) .$$
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