Just checking to see if I got this right.

Question

Thanks,

(3x^4--8x^2 -3x-3) / (x^2-3)

3x^2+1 remainder -3x

Answer 1

3x^2 + 1 + (-3x)/(x^2 - 3)

Yes, your answer is correct, but I was taught that the remainder is expressed as,
(-3x)/(x^2 - 3)