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 \( f(x) = x^4 - 6x^3 + 16x^2 - 25x + 10 \) is divided by \( g(x) = x^2 - 2x + k \), the remainder is \( r(x) = x + a \).

### Step 1: Set up the equation
We know that when dividing polynomials, the relationship can be expressed as:
\[ f(x) = g(x) \cdot q(x) + r(x) \]
where \( q(x) \) is the quotient and \( r(x) \) is the remainder. Here, \( r(x) = x + a \).
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