An algebraic proof of the fundamental theorem of algebra

Ruben Puente
2017 International Journal of Algebra  
We prove the fundamental theorem of algebra (FTA on brief) by using linear algebra. The proof which arises from a new equivalent reformulation of FTA also works for any infinite field, having root for all polynomials of degree 2, and thus, sufficient condition for that field being algebraically closed. Mathematics Subject Classification: 12D05, 12E05
doi:10.12988/ija.2017.7837 fatcat:ph4sck67z5c4nbfd2lbpylsfh4