2 The polynomial \(\mathrm { p } ( x )\) is defined by
$$\mathrm { p } ( x ) = x ^ { 3 } + a x ^ { 2 } + b x + 16$$
where \(a\) and \(b\) are constants. It is given that \(( x + 2 )\) is a factor of \(\mathrm { p } ( x )\) and that the remainder is 72 when \(\mathrm { p } ( x )\) is divided by \(( x - 2 )\).
Find the values of \(a\) and \(b\).