If the polynomial `x^(4)-6x^(3)+16x^(2)-25x+10` is divided by another polynomial `x^(2)-2x+k`, the remainder comes out to be (x-a). Find k and a.

Explanation

To solve the problem, we need to find the values of \( k \) and \( a \) such that when the polynomial \( P(x) = x^4 - 6x^3 + 16x^2 - 25x + 10 \) is divided by \( Q(x) = x^2 - 2x + k \), the remainder is \( R(x) = x - a \).

### Step-by-Step Solution:

1. **Set Up the Division**:
We are dividing \( P(x) \) by \( Q(x) \). According to the polynomial division algorithm, we can express:
\[
P(x) = Q(x) \cdot D(x) + R(x)
...