cameroon gce A level June 2015 pure mathematics with statistics 2

cameroon gce A level June 2015 pure mathematics with statistics 2

cameroon gce A level June 2015 pure mathematics with statistics 2

The polynomial function F(x) = 2×3 + px2 + qx – 30 leaves a remainder 2 -28 when divided by ( x – 1)
and a remainder 66 when divided by ( x- 3).
(a) Find the values of the constants p and q.
(b) Given that x — 2 is a factor of f(x) factorise f(x) completely