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