Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.6 - Factoring ax^2 + bx + c = 0 - Monitoring Progress - Page 393: 8

Answer

$-(m-1)(5m-1)$.

Work Step by Step

The given polynomial is $=-5m^2+6m-1$ Rewrite $6m$ as $5m+m$. $=-5m^2+5m+m-1$ Group the terms. $=(-5m^2+5m)+(m-1)$ Factor each group. $=-5m(m-1)+1(m-1)$ Factor out $(m-1)$. $=(m-1)(-5m+1)$ $=-(m-1)(5m-1)$ Hence, the factor of the polynomial is $-(m-1)(5m-1)$.
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