In synthetic division, the last number in the final row represents the remainder of the division.
Since you are dividing \(-x^3 + 3x^2 - 2x + 7\) by \(x - 3\), the value of the remainder can be found in the last row of the synthetic division setup.
In this case, if the "1" in the last row is referring to the remainder after performing synthetic division, then the correct interpretation is:
The remainder is 1.
So the appropriate answer from the options you provided is:
The remainder is 1.