Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 428: 115


$2x^{6}+2x^{5}+2x^{4}+2x^{3}$ (sample answer)

Work Step by Step

Reversing the steps for finding the gcf, let's say we found it to be GCF = $2x^{3}$ The four terms can be generated by multiplying the gcf with $x^{3},x^{2}x,$ and 1: $2x^{3}\cdot x^{3}+2x^{3}\cdot x^{2}+2x^{3}\cdot x+2x^{3}\cdot 1 =$ = $2x^{6}+2x^{5}+2x^{4}+2x^{3}$
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