3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ccac020a-c378-45db-80f4-c63b5c213e1d-2_513_775_945_388}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve \(y = \mathrm { f } ( x )\) where
$$f ( x ) = 4 + 5 x + k x ^ { 2 } - 2 x ^ { 3 }$$
and \(k\) is a constant.
The curve crosses the \(x\)-axis at the points \(A , B\) and \(C\).
Given that \(A\) has coordinates ( \(- 4,0\) ),
- show that \(k = - 7\),
- find the coordinates of \(B\) and \(C\).