Find all real polynomials g(x) of degree at most n \minus{} 3, n≥3, knowing that all the roots of the polynomial f(x) \equal{} x^n \plus{} nx^{n \minus{} 1} \plus{} \frac {n(n \minus{} 1)}2 x^{n \minus{} 2} \plus{} g(x) are real. algebrapolynomialinequalitiesVietaproduct of rootsabsolute value