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 Review - Page 412: 31

Answer

$ (x+3)(x-3)$.

Work Step by Step

The given polynomial is $= x^2-9$ Write the the polynomial as $a^2-b^2$. $= x^2-3^2$ Use difference of two square pattern $a^2-b^2=(a+b)(a-b)$. We have $a=x$ and $b=3$. $= (x+3)(x-3)$ Hence, the factor of the polynomial is $ (x+3)(x-3)$.
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