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Omni-MATH / Let P(x) be a polynomial with degree 2008 and leading coefficient 1 such that P(0)=2007,P(1)=2006,P(2)=2005,…,P(2007)=0. Determine the value of P(2008). You may use factorials in y…

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problem

Let P(x)P(x) be a polynomial with degree 2008 and leading coefficient 1 such that P(0)=2007,P(1)=2006,P(2)=2005,…,P(2007)=0P(0)=2007, P(1)=2006, P(2)=2005, \ldots, P(2007)=0. Determine the value of P(2008)P(2008). You may use factorials in your answer.
Plain-text mathematical notation (without MathML)
Let P(x) be a polynomial with degree 2008 and leading coefficient 1 such that P(0)=2007,P(1)=2006,P(2)=2005,…,P(2007)=0. Determine the value of P(2008). You may use factorials in your answer.
Original LaTeX notation
Let $P(x)$ be a polynomial with degree 2008 and leading coefficient 1 such that $P(0)=2007, P(1)=2006, P(2)=2005, \ldots, P(2007)=0$. Determine the value of $P(2008)$. You may use factorials in your answer.

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task_id
f950f70a-d06c-55cd-a2a5-8809148cfa69
task_key
test--f950f70a-d06c-55cd-a2a5-8809148cfa69
task_revision_id
1
config / split
/ test

Official source

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