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math.CV2013
A short proof of the Fundamental Theorem of Algebra
Tord Sjödin
D'Alembert made the first serious attempt to prove the Fundamental Theorem of Algebra (FTA) in 1746. An elementary proof of (FTA) based on the same idea is given in Proofs from THE…
math.HO2013
A short proof of d'Alemberts theorem
Tord Sjödin
A classical theorem of d'Alembert states that if a polynomial P(x) with real coefficients has a non-real root x=a+ib, then it also has a root x=a-ib. We give a short and elementary…