Remember, there is a missing term which is crucial to solving this, and that is 0x.
Ima use synthetic division, because that's the quicker option here:
The zero of x+2 is -2...
-2 | 3 5 1 0 -5
-6 2 -6 12
_____________
3 -1 3 -6 7
(Sorry, I'm unsure how to fix the formatting, plus I'm new to this. The -6 and such on the second line should be below the 5 and following of the first line, and the 3 and such on the last line should be below the 3 and following on the first line, leaving a space between the 3 on the first and third line.)
So the answer is: A. 3x^3 - x^2 + 3x - 6 + 7/(x+2)