# Determinable Polynomial

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Let $$P(x)$$ be a $$17$$th degree real polynomial given by the 17th degree determinant $$det(a_{ij})$$ where $$a_{ij} = x$$ iff. $$\delta_{ij} = 1$$ and $$= 17$$ iff. $$\delta_{ij} = 0$$ Determine the last three digits of $$P(12)$$.

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