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 - Practice and Problem-Solving Exercises: 26

Answer

$g(g^3+24g^2+12g+4)$

Work Step by Step

Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms. $g^4=\underline g\times g\times g\times g$ $24g^3=3\times2\times2\times2\times\underline g\times g\times g$ $12g^2=3\times2\times2\times\underline g\times g$ $4g=2\times2\times\underline g$ GCF $=g$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $g^4+24g^3+12g^2+4g=g(g^3+24g^2+12g+4)$
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