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

Question

2738 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-18T13:32:48

$x - 12$ $x-12$

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

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

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

$(x^{2} - 10 x - 24) = (x - 12) (x + 2)$ $(x^2-10x-24)=(x-12)(x+2)$

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

How do you simplify and divide (x^2-10x-24)div(x+2)(x2−10x−24)÷(x+2)(x^2-10x-24)div(x+2)?