Answer
$(v-7)(v+6)$.
Work Step by Step
The given polynomial is
$=v^2-v-42$
Standard form is $x^2+bx+c$.
We have $b=-1$ and $c=-42$.
$b$ is negative and $c$ is negative.
Factor pair of $-42$, whose sum is $-1$:-
$-7,6$
The values of $p$ and $q$ are $-7$ and $6$.
Hence, the factor of the polynomial is $(v+p)(v+q)=(v-7)(v+6)$.
Check:-
$=(v-7)(v+6)$
$=v^2+6v-7v-42$
$=v^2-v-42$
True.
