(a) Let u, v, and w be the real solutions to the equation x3−7x+7=0. Show that there exists a quadratic polynomial f with rational coefficients such that u=f(v), v=f(w), and w=f(u).(b) Let u, v, and w be the real solutions to the equation x3−7x+4=0. Show that there does not exist a quadratic polynomial fwith rational coefficients such that u=f(v), v=f(w), and w=f(u). algebrapolynomialtrinomialquadratics