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 - Chapter Test - Page 413: 11

Answer

$-(k+5)(5k-3)$.

Work Step by Step

The given polynomial is $=-5k^2-22k+15$ Factor out $-1$. $=-(5k^2+22k-15)$ Rewrite $22k$ as $25k-3k$. $=-(5k^2+25k-3k-15)$ Group the terms. $=-[(5k^2+25k)+(-3k-15)]$ Factor each group. $=-[5k(k+5)-3(k+5)]$ Factor out $(k+5)$. $=-(k+5)(5k-3)$ Hence, the factor of the polynomial is $-(k+5)(5k-3)$.
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