👉 In mathematics, a "soupled" or "symmetric polynomial" is a polynomial that can be expressed as the sum of two polynomials with integer coefficients. The set of all such polynomials forms a ring under addition and multiplication. For example, consider the polynomial f(x) = x^2 + 3x + 1. It has two symmetric polynomials in x and y, namely: f_1(x,y) = (x+y)^2 f_2(x
