- In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
$$f ( x ) = 4 x ^ { 3 } - 8 x ^ { 2 } + 5 x + a$$
where \(a\) is a constant.
Given that ( \(2 x - 3\) ) is a factor of \(\mathrm { f } ( x )\),
- use the factor theorem to show that \(a = - 3\)
- Hence show that the equation \(\mathrm { f } ( x ) = 0\) has only one real root.