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TT2008 Senior A-Level - P6

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September 4, 2010
algebrapolynomialalgebra proposed

Problem Statement

Let P(x)P(x) be a polynomial with real coefficients so that equation P(m)+P(n)=0P(m) + P(n) = 0 has infi nitely many pairs of integer solutions (m,n)(m,n). Prove that graph of y=P(x)y = P(x) has a center of symmetry.
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