Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-2 Polynomials, Linear Factors, and Zeros - Practice and Problem-Solving Exercises: 10

Answer

$x^3-36x=x(x-6)(x+6)$

Work Step by Step

Factor out the GCF $x$ to get $x(x^2-36)$. Factor the difference of two squares: $x(x-6)(x+6)$. Check by multiplying the factors: $=x(x^2+6x-6x-36) \\=x(x^2-36) \\=x^3-36x$.
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