6

Part of 1984 IMO Longlists

Problems(1)

If P^n+Q^n+R^n = 0, prove that n < 3

Source:

P,Q,R

be the polynomials with real or complex coefficients such that at least one of them is not constant. If

P^n+Q^n+R^n = 0

n < 3.

algebrapolynomialalgebra unsolved