3. The polynomial 4x3 + Ar + Bx +9, where A and B are constants, is denoted by f(x). When f(x) is divided by (x-2) the remainder is R. When f(x) is divided by (x-3) the remainder is 6R. (a) Show clearly that B-A 14 It is further given that (x+3) is factor of f(x). (b) Find the value of A and the value B. (c) Express f(x) as a product of a linear factor and a quadratic factor. (d) Show that the equation f(x) = 0 has only one real root.