4 The polynomial \(\mathrm { p } ( x )\) is defined by
$$\mathrm { p } ( x ) = 8 x ^ { 3 } + 30 x ^ { 2 } + 13 x - 25$$
- Find the quotient when \(\mathrm { p } ( x )\) is divided by ( \(x + 2\) ), and show that the remainder is 5 .
- Hence factorise \(\mathrm { p } ( x ) - 5\) completely.
- Write down the roots of the equation \(\mathrm { p } ( | x | ) - 5 = 0\).