5. (a) Write down the first 4 terms of the binomial expansion, in ascending powers of \(x\), of
$$( 1 + a x ) ^ { n } , n > 2 .$$
Given that, in this expansion, the coefficient of \(x\) is 8 and the coefficient of \(x ^ { 2 }\) is 30 ,
(b) calculate the value of \(n\) and the value of \(a\),
(c) find the coefficient of \(x ^ { 3 }\).
[0pt]
[P2 November 2003 Question 3]