7. (a) Factorise completely \(x ^ { 3 } - 4 x\).
(3)
(b) Sketch the curve with equation \(y = x ^ { 3 } - 4 x\), showing the coordinates of the points where the curve crosses the \(x\)-axis.
(3)
(c) On a separate diagram, sketch the curve with equation \(y = ( x - 1 ) ^ { 3 } - 4 ( x - 1 ) ,\)
showing the coordinates of the points where the curve crosses the \(x\)-axis.
(3)
\end{tabular} & Leave blank
\hline
\end{tabular}
\end{center}
\includegraphics[max width=\textwidth, alt={}]{6400bb0c-f199-45f2-a4b1-55534e2c63b0-11_2608_1924_141_75}
\begin{center}
\begin{tabular}{|l|l|}
\hline
\begin{tabular}{l}