Answer
$-(x+3)(x-5)$
Work Step by Step
For the polynomial $-(x^2 -2x -15)$ we have to find integers whose product is $-15$ and whose sum is $-2$. That is, we have $3$ and $-5$ where $3-5=-2$ and $3\times (-5)=-15$. Thus
$$
-(x^2 -2x -15)=-(x+3)(x-5)
.$$