Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Standardized Test Prep - Page 671: 62

Answer

Choice $D$

Work Step by Step

Factoring the $GCF=x$, the given expression is equivalent to $$ x(x^2-4) .$$ Using $x^2-y^2=(x+y)(x-y)$ or the factoring of the difference of two squares, the expression above is equivalent to $$ x(x^2-2^2)=x(x+2)(x-2) .$$Therefore, the factors of the given expression are $x$, $(x+2)$, and $(x-2)$. Hence, Choice $D$.
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