# How do you factor -x^2-2x+63?

Oct 29, 2015

$- {x}^{2} - 2 x + 63 = - \left(x - 7\right) \left(x + 9\right)$

#### Explanation:

$- {x}^{2} - 2 x + 63$

Factor out the negative sign.

$- \left({x}^{2} + 2 x - 63\right)$

Find two numbers that multiply to $63$ and add to $2$.

The numbers $- 7$ and $9$ fit the criteria.

The factors are $- \left(x - 7\right) \left(x + 9\right)$.