MathDB
Polynomial

Source: Hungary-Israel MC, 1991

May 23, 2006
algebrapolynomial

Problem Statement

Suppose f(x)f(x) is a polynomial with integer coefficients such that f(0)=11f(0) = 11 and f(x1)=f(x2)=...=f(xn)=2002f(x_1) = f(x_2) = ... = f(x_n) = 2002 for some distinct integers x1,x2,...,xnx_1, x_2, . . . , x_n. Find the largest possible value of nn.
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