Consider the polynomial p(x)=2x3+3x2−11x−6.
(i) Evaluate p(1) to verify whether x=1 is a zero of p(x).
(ii) Divide p(x) by (x−1) and write down the resulting quadratic factor.
(iii) Factorise the quadratic factor obtained in part (ii) completely, and hence factorise p(x).
(iv) List all the zeros of p(x).