College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises: 12

Answer

$7xy^2(-x^3+2y+3y^2)$

Work Step by Step

The greatest common factor of the coefficients -7, 14, and 21 is $7$. The greatest common factor of $x^4, x,$ and $x$ is $x$. The greatest common factor of $y^2, y^3,$ and $y^4$ is $y^23$ Thus, the greatest common factor of the three terms is $7xy^2$. Factor out $7xy^2$ to obtain: $=7xy^2(-x^3+2y+3y^2)$
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