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: 48

Answer

$(3x-1)(x^2+2)$

Work Step by Step

Regroup to obtain: $=(3x^3-x^2)+(6x-2)$ Factor out $x^2$ in the first group and $2$ in the second group to obtain: $=x^2(3x-1)+2(3x-1)$ Factor out the greatest common factor $(3x-1)$ to obtain: $=(3x-1)(x^2+2)$
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