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 - Exercises - Page 395: 19

Answer

$-(4c+1)(c-5)$.

Work Step by Step

The given polynomial is $=-4c^2+19c+5$ Factor out $-1$. $=-(4c^2-19c-5)$ Rewrite $-19c$ as $c-20c$. $=-(4c^2+c-20c-5)$ Group the terms. $=-[(4c^2+c)+(-20c-5)]$ Factor each group. $=-[c(4c+1)-5(4c+1)]$ Factor out $(4c+1)$. $=-(4c+1)(c-5)$ Hence, the factor of the polynomial is $-(4c+1)(c-5)$.
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