5 Kaya is investigating the function
$$f ( x ) = 2 x ^ { 3 } - 7 x ^ { 2 } - 12 x + 45$$
Kaya makes two statements.
Statement 1: \(\mathrm { f } ( 3 ) = 0\)
Statement 2: this shows that ( \(x + 3\) ) must be a factor of \(\mathrm { f } ( x )\).
5
- State, with a reason, whether each of Kaya's statements is correct.
Statement 1: \(\_\_\_\_\)
Statement 2: \(\_\_\_\_\)
5 - Fully factorise f (x).