# A triangle polynomial

**Algebra**Level 5

\(p(x) \) is a polynomial of degree 2014 with with real coefficients such \(p(x) = (-1)^x\) for \(x=0,1,\ldots,2014\).

Find the last 4 digits of \(p(2015) \).

\(p(x) \) is a polynomial of degree 2014 with with real coefficients such \(p(x) = (-1)^x\) for \(x=0,1,\ldots,2014\).

Find the last 4 digits of \(p(2015) \).

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