Answer
The factor of the given polynomial is $(x+6)(x+1)$.
Work Step by Step
The given polynomial is
$=x^2+7x+6$
Rewrite $7x$ as $6x+1x$.
$=x^2+6x+1x+6$
Group the terms.
$=(x^2+6x)+(1x+6)$
Factor each group.
$=x(x+6)+1(x+6)$
Factor out $(x+6)$.
$=(x+6)(x+1)$
Hence, the factor of the given polynomial is $(x+6)(x+1)$.
