[pm90]

Polynomial Interpolation:

Input: a set of points

Output: polynomial that passes through all points of Input

Here, since the input are just two numbers, I don't think it is polynomial interpolation.

[gohrt]

2 numbers, plus the assumption that the cooefficients are smaller than some amount, plus luck. It is interpolation with an underconstrained solution

[brianpgordon]

With the constraint that none of the coefficients are negative there's no element of luck.

[gohrt]

    f(x) = x^2 + 11x  

OR f(x) = x

    f(10) = 110

     = 1 * 10^2 +  1 * 10^1
     = 0 * 10^2 + 11 * 10^1

    f(0) = 0
     = 1 * 0^2 +  1 * 0^1
     = 1 * 0^2 + 11 * 0^1