Question

How to divide by a binomial?
x-2 / x^2 + 2x - 10

Answer 1

Are you dividing x - 2 / x^2 + 2x - 10 or the other way around?

Answer 2

I am dividing x-2 into x^2 + 2x - 10.

Answer 3

Ok, then I think that means you want x^2 + 2x - 10 / x - 2.

Answer 4

So:

____________________
x - 2| x^2 + 2x - 10

First off, multiply x - 2 by x to get the x^2 term:
_x___________________
x - 2 | x^2 + 2x - 10
x^2 - 2x
--------
- 10

So the result is x with a remainder of -10.

Someone correct me if I'm wrong :)