Given the polynomial g(x)=x3−4x2−3x+18.
(i) Verify that x=3 is a zero of g(x).
(ii) Find the quadratic factor obtained when g(x) is divided by (x−3).
(iii) Factorise the quadratic found in part (ii) and hence write g(x) in its fully factored form.
(iv) State the multiplicity of each zero of g(x).