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: 7

Answer

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

Work Step by Step

The given polynomial is $=-2y^2-5y-3$ Factor out $-1$. $=-1(2y^2+5y+3)$ Rewrite $5y$ as $3y+2y$. $=-1(2y^2+3y+2y+3)$ Group the terms. $=-1[(2y^2+3y)+(2y+3)]$ Factor each group. $=-1[y(2y+3)+1(2y+3)]$ Factor out $(2y+3)$. $=-1(2y+3)(y+1)$ Hence, the factor of the polynomial is $-1(2y+3)(y+1)$.
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