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:
$x(x^2+4x+4x+16)
\\=x(x^2+8x+16)
\\=x^3+8x^2+16x$
Algebra 2 Common Core
by Hall, Prentice
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: 11
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