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 - Page 42: 4


$(x+1)^{2}$; $(x+1)^{2}(4-x)$

Work Step by Step

The GCF is $(x+1)^{2}$ because it is the largest common factor found in both $4(x+1)^{2}$ and $x(x+1)^{2}$. When $(x+1)^{2}$ is factored out, $4 - x$ is left, so the factored form is equal to $(x+1)^{2}(4-x)$.
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