Polynomial and Values
Source:
April 6, 2008
algebrapolynomialfactorial
Problem Statement
Let be a polynomial with degree 2008 and leading coefficient 1 such that
P(0) \equal{} 2007, P(1) \equal{} 2006, P(2) \equal{} 2005, \dots, P(2007) \equal{} 0.
Determine the value of . You may use factorials in your answer.