8.
\includegraphics[max width=\textwidth, alt={}, center]{98667bd4-a612-4b16-a75b-8d8637e5976d-3_611_828_251_392} The diagram 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 \(B\).

1. Find the coordinates of \(A\) and \(B\). The line \(l\) is the tangent to \(C\) at \(O\).
2. Find an equation for \(l\).
3. Find the coordinates of the point where \(l\) intersects \(C\) again.