Question

How do you divide `(3x^3 + 5x^2 -3 x + 15) / (3x^2 -4x+12)`?

Answer 1

I tried to explain as much as possible the division where I got `(x+3)` with a remainder of `-3x-21`:

Explanation:

I used the division of polynomials and added some explanation (hoping they are understandable!):

From the picture, I divide the first time and got `x` and then (after subtracting and using `15`) I divide again and got `+3`.