5 The polynomial \(4 x ^ { 3 } - 4 x ^ { 2 } + 3 x + a\), where \(a\) is a constant, is denoted by \(\mathrm { p } ( x )\). It is given that \(\mathrm { p } ( x )\) is divisible by \(2 x ^ { 2 } - 3 x + 3\).
- Find the value of \(a\).
- When \(a\) has this value, solve the inequality \(\mathrm { p } ( x ) < 0\), justifying your answer.