7 In this question you must show detailed reasoning.
The function \(\mathrm { f } ( x )\) is defined by \(\mathrm { f } ( x ) = x ^ { 3 } + x ^ { 2 } - 8 x - 12\) for all values of \(x\).
- Use the factor theorem to show that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\).
- Solve the equation \(\mathrm { f } ( x ) = 0\).