Consider the following. f(x) = x^4 - 3x^3 - 3x^2 - 12x - 28
(a) Write the polynomial as the product of factors that are irreducible over the rationals. (Hint: One factor is x2 + 4.)
(b) Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals.
(c) Write the polynomial in completely factored form.
f(x) =