cubic polynomial

16. f(x) = 3x3 + 359:2 + 8x + q When for) is divided by (x + 1) there is a remainder of 4. When for) is divided by (x 2) there is a remainder of 80. (a) Find the values of the constants p and q. (13) Show that (x + 2) is a factor of for). (e) Solve the equation f(x) = 0. f(n)=n3+7n2+l4n+3 (a) Find the remainder when n) is divided by (n + 1). (13) Express fort) in the form n) = (n + 1)(n + a) (n + b) + c , where a, b and c are integers. (c) Hence, show that f(n) is odd for all positive integer values of n