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: 47

Answer

$(x+4)(x^2+1)$

Work Step by Step

Regroup to obtain: $=(x^3+4x^2)+(x+4)$ Factor out $x^2$ in the first group to obtain: $=x^2(x+4)+(x+4)$ Factor out the greatest common factor $(x+4)$ to obtain: $=(x+4)(x^2+1)$
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