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

1 Answer
Nov 18, 2016

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