Question

How do you divide `(x^2-7x+12)/(x-5)`?

Answer 1

`(x^2-7x+12)/(x-5) = x – 2 + 2/(x-5)`

Explanation:

You use the process of long division.

So,

`(x^2-7x+12)/(x-5) = x – 2 + 2/(x-5)`

Check:

`(x-5)(x-2+2/(x-5)) = (x-5)(x-2) + 2 = x^2 -7x +10 + 2 = x^2 -7x +12`