1 Part of the graph of \(y = \mathrm { f } ( x )\) is shown below, where \(\mathrm { f } ( x )\) is a cubic polynomial.
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- Find \(\mathrm { f } ( - 1 )\).
- Write down three linear factors of \(\mathrm { f } ( x )\).
It is given that \(\mathrm { f } ( x ) \equiv a x ^ { 3 } + b x ^ { 2 } + c x + d\).
- Show that \(a = - 2\).
- Find \(b , c\) and \(d\).