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: 12

Answer

$9x^3+6x^2-3x=3x(3x-1)(x+1)$

Work Step by Step

Factor out the GCF $3x$ to get $3x(3x^2+2x-1)$. Factor the trinomial to get $3x(3x-1)(x+1)$. Check by multiplying the factors: $\\3x(3x^2+3x-x-1) \\=3x(3x^2+2x-1) \\=9x^3+6x^2-3x.$
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