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Omni-MATH / Let m≠0 be an integer. Find all polynomials P(x) with real coefficients such that (x³−mx²+1)P(x+1)+(x³+mx²+1)P(x−1)=2(x³−mx+1)P(x) for all real number x. · Discussion

Discussing Let m≠0 be an integer. Find all polynomials P(x) with real coefficients such that (x³−mx²+1)P(x+1)+(x³+mx²+1)P(x−1)=2(x³−mx+1)P(x) for all real number x. · Omni-MATH

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