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: 15

Answer

$(h+6)^2$

Work Step by Step

The given polynomial is $\Rightarrow h^2+12h+36$ Write the the polynomial as $a^2+2ab+b^2$. $\Rightarrow h^2+2(h)(6)+6^2$. Use perfect square trinomial pattern $a^2+2ab+b^2=(a+b)^2$. We have $a=h$ and $b=6$. $\Rightarrow (h+6)^2$ Hence, the factor of the polynomial is $(h+6)^2$.
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