Answer
$(x+7)(x+1)$.
Work Step by Step
The given polynomial is
$=x^2+8x+7$
Standard form is $x^2+bx+c$.
We have $b=8$ and $c=7$.
$b$ and $c$ is positive.
Factor pair of $7$, whose sum is $8$:
$7,1$
The values of $p$ and $q$ are $7$ and $1$.
Hence, the factor of the polynomial is $(x+p)(x+q)=(x+7)(x+1)$.
Check:-
$=(x+7)(x+1)$
$=x^2+x+7x+7$
$=x^2+8x+7$
True.
