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: 25



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. $14x^3=7\times\underline 2\times\underline x\times x\times x$ $2x^2=\underline 2\times\underline x\times x$ $8x=\underline 2\times2\times2\times\underline x$ GCF $=2\times x=2x$ Factor the GCF out of each term. Use the factors from each term that are not part of the GCF. $14x^3-2x^2+8x=2x(7x^2-x+4)$
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