I am looking for a simple proof that a non-negative polynomial in n variables has always even degree. I have proved it but using Artin's Theorem ( Every non-negative polynomial is the sum of squares of rational functions), but I think that there are simpler proofs.
2026-04-06 20:41:17.1775508077
A simple proof that non negative polynomials have even degree
175 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in POLYNOMIALS
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