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 - 7.7 - Factoring Special Products - Exercises - Page 401: 38

Answer

$8(k+5)^2$.

Work Step by Step

The given polynomial is $=8k^2+80k+200$ Factor out $8$. $=8(k^2+10k+25)$ Write the the polynomial as $a^2+2ab+b^2$. $=8(k^2+2(k)(5)+5^2)$ Use perfect square trinomial pattern $a^2+2ab+b^2=(a+b)^2$ We have $a=k$ and $b=5$. $=8(k+5)^2$ Hence, the factor of the given polynomial is $8(k+5)^2$.
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