i. The polynomial x³ + ax² + bx + 8, where a and b are constants, is denoted by p(x). It is given that when p(x) is divided by (x − 3) the remainder is 14, and that when p(x) is divided by (x + 2) the remainder is 24. Find the values of a and b.

ii  When a and b have these values, find the quotient when p(x) is divided by x² + 2x − 8 and hence solve the equation p(x) = 0.