4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d8940254-0663-413e-a802-71519742cfcc-08_721_982_114_347}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve \(C\) with the equation \(y = x ^ { 3 } + 3 x ^ { 2 } - 4 x\) and the straight line \(l\).
The curve \(C\) crosses the \(x\)-axis at the origin, \(O\), and at the points \(A\) and \(B\).
- Find the coordinates of \(A\) and \(B\).
The line \(l\) is the tangent to \(C\) at \(O\).
- Find an equation for \(l\).
- Find the coordinates of the point where \(l\) intersects \(C\) again.
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