Answer:
-x²-2x+3
Step-by-step explanation:
using the remainder theorem:
7x-x³-6 = -x³+7x-6
-1 0 7 -6
2| -2 -4 6
-1 -2 3 0
therefore the answer is -x²-2x+3.
To check that our answer is correct lets multiply x-2 and -x²-2x+3
(-x³-2x²+3x+2x²+4x-6)
combine like terms
(-x³+7x-6)
therefore our answer is correct.
