What is the remainder when (x^3 +1)/(x^2 +3) is divided by (x^3 +1)/(x^2 +3)?

[mirandasatterley]

(x^3 +1)/(x^2 +3) = ?


_X______
X^2 + 3 / X^3 +1
- X^3 +3X
-----------
-3X +1
From here. I cannot figure out what to do.

 

[radou]

Hint: your work is done.

 

[HallsofIvy]

Second hint: the remainder, -3x+ 1 has lower degree than the divisor.

8/3= 2 with remainder 2 or 2+ 2/3, because the remainder, 2, is less than the divisor, 3.