perplexus.info :: Numbers : Polynomial path

Polynomial path (Posted on 2020-09-13)

Find all polynomials P(x) with real coefficients satisfying the equation

(x+1)³P(x-1)-(x-1)³P(x+1)=4(x²-1)P(x)

for all real numbers x.

No Solution Yet Submitted by Danish Ahmed Khan

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