I hope you've learned synthetic division because that is the easy way to do this:
2 | -3 -2 -1 -2
=== -6 -16 -34
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-3 -8 -17 -36
The bottom right corner, -36, is the remainder. And the rest of the bottom row is the quotient. "-3 -8 -17" translates into . So the answer is "D".