Answer
$(x+6)(x+1)$.
Work Step by Step
The given polynomial is
$=x^2+7x+6$
Standard form is $x^2+bx+c$.
We have $b=7$ and $c=6$.
The value of $c$ is positive.
Factor pair of $6$, whose sum is $7$:
$6,1$
The values of $p$ and $q$ are $6$ and $1$.
Hence, the factor of the polynomial is $(x+p)(x+q)=(x+6)(x+1)$.
Check:-
$=(x+6)(x+1)$
$=x^2+x+6x+6$
$=x^2+7x+6$
True.
