Question

How do you factor `-x^2-9x+22`?

Answer 1

(-x-11)(x-2)

Answer 2

`(-x-11)(x-2)`

Explanation:

`"using the a-c method to factor the quadratic"`

`"the factors of - 22 which sum to - 9 are + 2 and - 11"`

`"split the middle term using these factors"`

`-x^2+2x-11x+22larrcolor(blue)"factor by grouping"`

`color(red)(-x)(x-2)color(red)(-11)(x-2)`

`"take out the "color(blue)"common factor "(x-2)`

`=(x-2)(color(red)(-x-11))`

`-x^2-9x+22=(-x-11)(x-2)`