Answer:
-x² -2x -5 -12/(x-2)
Explanation:
The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:
-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown
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You can always multiply out your answer to see if it matches the problem.
(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with