# P for Polynomial

Algebra Level 2

Given that $$P(x)$$ is a monic fifth degree polynomial such that $\begin{eqnarray} P(1) & = & 1^2 \\ P(2) & = & 2^2 \\ P(3) & = & 3^2 \\ P(4) & = & 4^2 \\ P(5) & = & 5^2,\end{eqnarray}$ find the value of $$P(6)$$.

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