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: 11

Answer

$x^3+8x^2+16x=x(x+4)^2$

Work Step by Step

Factor out the GCF x to get $x(x^2+8x+16)$. Factor the trinomial to get $x(x+4)(x+4)$. Check by multiplying the factors: $x(x^2+4x+4x+16) \\=x(x^2+8x+16) \\=x^3+8x^2+16x$
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