Answer
$(x-3)(x+5)$.
Work Step by Step
The given polynomial is
$=x^2+2x-15$
Standard form is $x^2+bx+c$.
We have $b=2$ and $c=-15$.
$b$ is positive and $c$ is negative.
Factor pair of $-15$, whose sum is $2$:
$5,-3$
The values of $p$ and $q$ are $-3$ and $5$.
Hence, the factor of the polynomial is $(x+p)(x+q)=(x-3)(x+5)$.
Check:-
$=(x-3)(x+5)$
$=x^2+5x-3x-15$
$=x^2+2x-15$
True.
