MathDB
Polynomial

Source: Chinese TST 2007 1st quiz P3

January 3, 2009
algebrapolynomialfunctioninductionquadraticslimitintegration

Problem Statement

Prove that for any positive integer n n, there exists only n n degree polynomial f(x), f(x), satisfying f(0) \equal{} 1 and (x \plus{} 1)[f(x)]^2 \minus{} 1 is an odd function.
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