The polynomial f(x) is defined by f(x)=x^(3)-9x^(2)+7x+33

(i) Find the remainder when f(x) is divided by (x+2).

(ii) Show that (x-3) is a factorof f(x). 

 (iii ) Solve the equation f(x)=0, giving each root in an exact form as simply as possible.