Question

How do you simplify and divide `(x^2-10x-24)div(x+2)`?

Answer 1

`x-12`

Explanation:

Factor `(x^2color(blue)(-10)xcolor(red)(-24))` before dividing it.

What two numbers if you multiply them you will get `color(red)(-24)` and if you add them you will get `color(blue)(-10)`?

The two numbers are `-12` and `2`

`(x^2-10x-24)=(x-12)(x+2)`

`(x^2-10x-24)/(x+2)= (cancel((x+2))(x-12))/cancel(x+2)=x-12`