Question

Synthetic division is used to divide −x3+3x2−2x+7 by x−3 . The result is shown. What does the “1“ in the last row mean? (1 point) Responses The remainder is 1. The remainder is 1. The remainder is 1x+3. The remainder is the fraction with numerator 1 and denominator x plus 3 . There is no remainder. There is no remainder. The remainder is 1x−3.

Answer 1

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.