4.
$$f ( x ) = \left( x ^ { 2 } - 2 \right) ( 2 x - 3 ) - 21$$
- State the value of the remainder when \(\mathrm { f } ( x )\) is divided by ( \(2 x - 3\) )
- Use the factor theorem to show that \(( x - 3 )\) is a factor of \(\mathrm { f } ( x )\)
- Hence,
- factorise \(\mathrm { f } ( x )\)
- show that the equation \(\mathrm { f } ( x ) = 0\) has only one real root.