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: 24

Answer

$5(k^3+4k^2-3)$

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. $5k^3=\underline 5\times k\times k\times k$ $20k^2=\underline 5\times2\times2\times k\times k$ $15=\underline 5\times3$ GCF $=5$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $5k^3+20k^2-15=5(k^3+4k^2-3)$
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