I used synthetic division to solve this (pardon the messiness I tried to write it out on the computer but I'm not that good at maneuvering the mouse)
Below are the steps I took:
The answer is: [tex]3x^{3} -5x^{2} +10x -10 + \frac{7}{x + 1}[/tex]
I hope this made a bit of sense and it's helped you!