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Omni-MATH / Find all polynomials f with real coefficients such that for all reals a,b,c such that ab+bc+ca=0 we have the following relations f(a−b)+f(b−c)+f(c−a)=2f(a+b+c). · Discussion

Discussing Find all polynomials f with real coefficients such that for all reals a,b,c such that ab+bc+ca=0 we have the following relations f(a−b)+f(b−c)+f(c−a)=2f(a+b+c). · Omni-MATH

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