Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Lesson Check: 4

Answer

$4x(x^2+2x+3)$

Work Step by Step

Find the greatest common factor. Find the factors of each term and multiply the factors that are common to all the terms. $4x^3=\underline2\times\underline2\times\underline x\times x\times x$ $8x^2=\underline2\times\underline2\times2\times\underline x\times x$ $12x=3\times\underline2\times\underline2\times\underline x$ GCF=$2\times2\times x=4x$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $4x^3+8x^2+12x=4x(x^2+2x+3)$
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