JUNE 2019 (with statistics)
1. The polynomial function f(x) = 2x3 + px² + qx - 30 leaves a remainder of
-28 when divided by (x - 1) and a
remainder of 66 when divided by
(x-3).
(a) Find the values of the constants p and q.
(5 marks)
(5 marks)
(b) Given that (x-2) is a factor of f(x), factorise f(x) completely.