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 - Page 293: 7

Answer

x(x+5)(x+2)

Work Step by Step

The first step is to factor out the x, so that the polynomial is now $x(x^2+7x+10)$. You then factor the $(x^2+7x+10)$ into (x+2)(x+5). Note 2x5=10 and 2+5=7. Thus the final answer x(x+5)(x+2).
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