Though usually cited in reference to the complex numbers, any field that satisfies this theorem is considered algebraically closed.
Though usually cited in reference to the complex numbers, any field that satisfies this theorem is considered algebraically closed. Cauchy's proved it in 1820 as a corollary of the extreme value conjecture, but Gauss gave the first rigorous proof in his doctoral thesis. Guaranteeing that an unique factorization exists for any polynomial, for 10 points, name this theorem stating that any polynomial of degree n has exactly n roots.
Though usually cited in reference to the complex numbers, any field that satisfies this theorem is considered algebraically closed.
{f}undamental {t}heorem of {a}lgebra