can anyone explain how to divide in algebra? I have this problem:

Question

(15x2-24+9)/(3x-3)
I am not looking for someone to give me the answer straight out I just need to know how to get there.

Answer 1

Start in the same way as you would do long division.

Set it up as
_________
(3x-3)|15x2-24x+9

then how many times does 3x go into 15x^2, which is 5x

5x
_________
(3x-3)|15x2-24x+9

15x2-15x (from 5x times (3x-3)

subtract

5x
_________
(3x-3)|15x2-24x+9

15x2-15x
________
-9x+9

I hope the formatting holds. Is this OK?

Answer 2

The formatting didn't work 8-((

I hope you get the idea. I'll try again with dots for spaces.

Start in the same way as you would do long division.

Set it up as
......_________
(3x-3)|15x2-24x+9

then how many times does 3x go into 15x^2, which is 5x

.......5x
......._________
(3x-3)|15x2-24x+9

.......15x2-15x (from 5x times (3x-3)

subtract

.......5x
......._________
(3x-3)|15x2-24x+9

.......15x2-15x
............________
............-9x+9