A; you need to bring down the first term, 2, multiply it by -2, resulting in -4. Add -4 to 2 to get -2. Multiply -2 and get a product of 4, and add that to the third term, -4. That would give you 2, that would then be multiplied by -2 to get -4 and when added to 4, would give you a remainder of 0.
The quotient coefficients would be 2, -2, and 2, which becomes 2x² -2x + 2.
Hope this helped :)
