MathDB

6

Part of 2018 Regional Olympiad of Mexico Southeast

Problems(1)

find polynomials

Source: Mathematics Regional Olympiad of Mexico Southeast 2018 P6

10/24/2021
Find all polynomials p(x)p(x) such that for all reals a,ba, b and cc, with a+b+c=0a+b+c=0, satisfies
p(a3)+p(b3)+p(c3)=3p(abc)p(a^3)+p(b^3)+p(c^3)=3p(abc)
algebrapolynomial