**?? - 2013 Q3**

3.

where a is a constant.

Given that (x – 3) is a factor of f(x),

(a) show that a = – 9 (2)

(b) factorise f(x) completely. (4)

Given that

Given that (x – 3) is a factor of f(x),

(a) show that a = – 9 (2)

(b) factorise f(x) completely. (4)

Given that

(c) find the values of y that satisfy g(y) = 0, giving your answers to 2 decimal places where appropriate. (3)