3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{da9672c1-d1d8-4c2f-89ef-2055da37f720-2_531_844_1473_447}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows the curves with equations \(y = 7 - 2 x - 3 x ^ { 2 }\) and \(y = \frac { 2 } { x }\).
The two curves intersect at the points \(P , Q\) and \(R\).
- Show that the \(x\)-coordinates of \(P , Q\) and \(R\) satisfy the equation
$$3 x ^ { 3 } + 2 x ^ { 2 } - 7 x + 2 = 0$$
Given that \(P\) has coordinates \(( - 2 , - 1 )\),
- find the coordinates of \(Q\) and \(R\).