Question 550956
Unless I'm mis-interpreting your question, if deg(a)*deg(b)*deg(c) = 0, then one of the polynomials must be a constant.


If alpha, beta, gamma are the constant terms of each polynomial, then by equating constant terms on both sides, we have


*[tex \LARGE \alpha^n + \beta^n = \gamma^n]


However, alpha, beta, gamma have to be positive integers for Fermat's Last Theorem to apply. Your polynomials have complex coefficients, so you'll be in for a long run...