Let n≥3 be an integer. Let f(x) and g(x) be polynomials with real coefficients such that the points (f(1),g(1)),(f(2),g(2)),…,(f(n),g(n)) in R2 are the vertices of a regular n-gon in counterclockwise order. Prove that at least one of f(x) and g(x) has degree greater than or equal to n\minus{}1. Putnamalgebrapolynomialrotationblogstrigonometryanalytic geometry