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: 3

Answer

$(m+7)(m-7)$.

Work Step by Step

The given polynomial is $= m^2-49$ Write the the polynomial as $a^2-b^2$. $= m^2-7^2$ Use difference of two square pattern $a^2-b^2=(a+b)(a-b)$. We have $a=m$ and $b=7$. $= (m+7)(m-7)$ Hence, the factor of the polynomial is $(m+7)(m-7)$.
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