Symmetric functions of roots

In algebra, the symmetric functions of the roots of a polynomial are expressions that involve the roots of the polynomial and that remain unchanged under permutations of the roots. Let’s consider a polynomial with coefficients a_n, a_{n-1},…,a_1,a_0, which can be written as: cssCopy codep(x) = a_n x^n + a_{n-1} x^{n-1} + … + a_1 x…