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Fundamental Theorem of Algebra

Statement

The fundamental theorem of algebra states that every polynomial equation having complex coefficients and degree greater than or equal to 1 has at least one complex root.

Alternate description

Every polynomial P(z) of degree n has n values z_i (some of them possibly degenerate) for which P(z_i) = 0.

History

status | proved
proof date | 1798 (227 years ago)
provers | James Wood | Carl Friedrich Gauss
additional people involved | Jean Le Rond d'Alembert | Jean Robert Argand | Augustin-Louis Cauchy | Joseph-Louis Lagrange | Pierre-Simon Laplace | Alexander Markowich Ostrowski | Karl Weierstrass

Classes

solved mathematics problems | mathematics theorems

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