For non-negative integers n and k, let Pn,k(x) denote the rational function (xk−1)(xk−x)⋯(xk−xk−1)(xn−1)(xn−x)⋯(xn−xk−1). Show that Pn,k(x) is actually a polynomial for all n,k∈N. functionalgebrapolynomialcalculusintegrationrational functionPolynomials