Answer
$(6a+7)(a^2+1)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
6a^3+7a^2+6a+7
,$ is
\begin{array}{l}
(6a^3+7a^2)+(6a+7)
\\\\=
a^2(6a+7)+(6a+7)
\\\\=
(6a+7)(a^2+1)
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set - Page 310: 53
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