4.
$$f ( x ) = 6 x ^ { 3 } + 13 x ^ { 2 } - 4$$
- Use the remainder theorem to find the remainder when \(\mathrm { f } ( x )\) is divided by ( \(2 x + 3\) ).
- Use the factor theorem to show that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\).
- Factorise \(\mathrm { f } ( x )\) completely.