Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set: 16

Answer

$2x(7y-5z+4w)$

Work Step by Step

The greatest number that divides the numerical coefficients is 2. The variables raised to the smallest exponents are $w^0$ (which is equal to 1), $x$, $y^0$ (which is equal to 1), and $z^0$ (which is equal to 1). Thus, the greatest common factor is $2x$. Factor this out to obtain: $=2x(7y-5z+4w)$
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