14. The diagram below shows a sketch of the curve \(C\) with equation \(y = 2 - 3 x - 2 x ^ { 2 }\) and the line \(L\) with equation \(y = x + 2\). The curve and the line intersect the coordinate axes at the points \(A\) and \(B\).
\includegraphics[max width=\textwidth, alt={}, center]{9bb29d6e-2dbb-4212-b3e0-45e7b12c0c43-18_775_970_589_543}
- Write down the coordinates of \(A\) and \(B\).
| (b) Calculate the area enclosed by \(C\) and \(L\). | | [6] |
| | Examiner only |