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 - Page 483: 23



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. $14n^3=\underline 7\times2\times n\times n\times n$ $35n^2=\underline 7\times5\times n\times n$ $28=\underline 7\times2\times2$ GCF $=7$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $14n^3-35n^2+28=7(2n^3-5n^2+4)$
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