Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 76

Answer

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

Work Step by Step

The polynomial $x^2-9$ is a difference of the two squares $x^2$ and $3^2$. That is, by using the fact that $a^2-b^2=(a-b)(a+b)$, we have $$ x^2-9=x^2-3^2=(x-3)(x+3) .$$
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