Consider following. f(x) = x4 - 4x3 + 7x2 + 24x - 78 (a) Write polynomial as product of factors which are irreducible over rationals. One factor is x2 - 6.) f(x) = (b) Write polynomial as product of linear and quadratic factors which are irreducible over reals. f(x) = (c) Write polynomial in completely factored form.