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Algebra Level 3

\[f\left( 1 \right) =1\\ f\left( -1 \right) =11\\ f\left( -2 \right) =22\\ f\left( 2 \right) =14\]

If \(f\left( x \right) \) is a cubic polynomial satisfying the above equations, find the value of \[f\left( 0 \right) \]

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