Use the factor theorem to prove that \(x - 6\) is a factor of \(\mathrm { p } ( x )\).
\(4 \quad \mathrm { p } ( x ) = 4 x ^ { 3 } - 15 x ^ { 2 } - 48 x - 36\)
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Prove that the graph of \(y = \mathrm { p } ( x )\) intersects the \(x\)-axis at exactly one point.
4
(ii) State the coordinates of this point of intersection.