Edexcel C2 Specimen — Question 8

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
SessionSpecimen
TopicAreas Between Curves

8. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{afaf76d8-2a1f-4239-8275-70fad4f418c1-2_616_712_1658_713}
\end{figure} The line with equation \(y = x + 5\) cuts the curve with equation \(y = x ^ { 2 } - 3 x + 8\) at the points \(A\) and \(B\), as shown in Fig. 2.
  1. Find the coordinates of the points \(A\) and \(B\).
  2. Find the area of the shaded region between the curve and the line, as shown in Fig. 2.