# Most valuable coefficient - ll

Algebra Level 4

$\begin{eqnarray} f(1) &=& -6 \\ f(3) &=& -36 \\ f(5) &=& -50 \\ f(7) &=& 0 \end{eqnarray}$

$$f(x)$$ is a $$4^{\text{th}}$$ degree polynomial with leading coefficient 2 satisfying the above condition.

Find the value of $$f(8)$$.

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