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: 30

Answer

-1, 0, and 1

Work Step by Step

First, factor the polynomial completely: $\\y=3x(x^2-1) \\y=3x(x-1)(x+1).$ Equate each unique factor to zero, then solve each equation: $3x=0 \text{ or } x-1=0 \text{ or } x+1=0 \\x=0 \text{ or } x = 1 \text{ or } x=-1.$ Thus, the zeros are -1, 0, and 1, each with multiplicity one.
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