If the polynomial `x^4-6x^3+16 x^2-25 x+10`is divided by another polynomial `x^2-2x+k`, the remainder copies 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 \( x^4 - 6x^3 + 16x^2 - 25x + 10 \) is divided by \( x^2 - 2x + k \), the remainder is \( x + a \).

### Step-by-Step Solution:

1. **Set Up the Division**:
We are dividing the polynomial \( P(x) = x^4 - 6x^3 + 16x^2 - 25x + 10 \) by \( D(x) = x^2 - 2x + k \).

2. **Perform Polynomial Long Division**:
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