4 The polynomial \(\mathrm { f } ( x )\) is defined by
$$f ( x ) = 3 x ^ { 3 } + a x ^ { 2 } + a x + a$$
where \(a\) is a constant.
- Given that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\), find the value of \(a\).
- When \(a\) has the value found in part (i), find the quotient when \(\mathrm { f } ( x )\) is divided by ( \(x + 2\) ).