Answer
$$(q-10)(q+10)$$
Work Step by Step
Since the coefficient of the squared term is one, we know that the expression must factor to:
$$ (q\pm a)(q\pm b)$$
Here, we see that a and b must multiply to get $-100$ and add to get $0$. Thus, we find that the solution is:
$$(q-10)(q+10)$$