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

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Posted by Riley Schuppe on 2021-10-27 10:04:00