Let P be a polynomial of degree n with real coefficients such that at least n of its coefficients coincide and at most one of its coefficients is zero. Given that all n roots of P are real numbers find the maximal possible value of n.
Let P be a polynomial of degree n with real coefficients such that at least n of its coefficients coincide and at most one of its coefficients is zero. Given that all n roots of P are real numbers find the maximal possible value of n.