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: 94



Work Step by Step

Group in pairs... ... $= [7x^{4}\cdot x+7x^{4}\cdot(-1)]+ [x^{2}\cdot x+x^{2}\cdot(-1)]+[3\cdot x+3\cdot(-1)]$ ... use the distributive property on each pair, $=7x^{4}(x-1)+x^{2}(x-1)+3(x-1)$ ... now, $(x-1)$ is a common factor. Use the distributive property. = $(7x^{4}+x^{2}+3)(x-1)$
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