KnowraFundamental theorem of algebraLinked fromLinked fromThe 41 pages that link to Fundamental theorem of algebra, each with the reason it gives.All 41Broader topic 2Related 28Narrower topic 3Compared with 8Fundamental theorem of arithmeticCompared with: Its parallel name masks a different claim: polynomial roots, not unique integer factorization.Galois theoryCompared with: Root existence over the complex numbers does not determine whether roots can be expressed by radicals.Algebraic closureCompared with: It establishes directly that the complex numbers are algebraically closed.Weierstrass factorization theoremCompared with: It gives the finite polynomial analogue of factoring by zeros.Factor theoremCompared with: It guarantees roots exist over the complex numbers, while the factor theorem tests a specified value.Fundamental theorem of Galois theoryCompared with: Despite its similar name, it concerns polynomial roots rather than field-subgroup correspondences.Hurwitz's theoremCompared with: Unlike this global existence result, Hurwitz controls zeros locally through convergence of holomorphic functions.Uniqueness of solutionsCompared with: It guarantees existence of roots, while repeated roots show that existence does not imply uniqueness.