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Let m \neq 0 be an integer. Find all polynomials P(x) with real coefficients such that 
  (x^3 - m x^2  + 1)P(x + 1) + (x^3 + m x^2 + 1)P(x - 1) = 2(x^3 - m x + 1)P(x)
for all real numbers x.

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