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- Fundamental_theorem_of_algebra abstract "The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with zero imaginary part. Equivalently (by definition), the theorem states that the field of complex numbers is algebraically closed.The theorem is also stated as follows: every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots. The equivalence of the two statements can be proven through the use of successive polynomial division.In spite of its name, there is no purely algebraic proof of the theorem, since any proof must use the completeness of the reals (or some other equivalent formulation of completeness), which is not an algebraic concept. Additionally, it is not fundamental for modern algebra; its name was given at a time when the study of algebra was mainly concerned with the solutions of polynomial equations with real or complex coefficients.".
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- Fundamental_theorem_of_algebra wikiPageExternalLink ~djv.
- Fundamental_theorem_of_algebra wikiPageExternalLink fundamental2.shtml.
- Fundamental_theorem_of_algebra wikiPageExternalLink Algebra,_fundamental_theorem_of.
- Fundamental_theorem_of_algebra wikiPageExternalLink D14-al.pdf.
- Fundamental_theorem_of_algebra wikiPageExternalLink gauss-web.php.
- Fundamental_theorem_of_algebra wikiPageID "51414".
- Fundamental_theorem_of_algebra wikiPageRevisionID "597436367".
- Fundamental_theorem_of_algebra hasPhotoCollection Fundamental_theorem_of_algebra.
- Fundamental_theorem_of_algebra subject Category:Articles_containing_proofs.
- Fundamental_theorem_of_algebra subject Category:Field_theory.
- Fundamental_theorem_of_algebra subject Category:Fundamental_theorems.
- Fundamental_theorem_of_algebra subject Category:Theorems_in_algebra.
- Fundamental_theorem_of_algebra subject Category:Theorems_in_complex_analysis.
- Fundamental_theorem_of_algebra type Abstraction100002137.
- Fundamental_theorem_of_algebra type Communication100033020.
- Fundamental_theorem_of_algebra type FundamentalTheorems.
- Fundamental_theorem_of_algebra type Message106598915.
- Fundamental_theorem_of_algebra type Proposition106750804.
- Fundamental_theorem_of_algebra type Statement106722453.
- Fundamental_theorem_of_algebra type Theorem106752293.
- Fundamental_theorem_of_algebra type TheoremsInAlgebra.
- Fundamental_theorem_of_algebra type TheoremsInComplexAnalysis.
- Fundamental_theorem_of_algebra comment "The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with zero imaginary part.".
- Fundamental_theorem_of_algebra label "Fundamental theorem of algebra".
- Fundamental_theorem_of_algebra label "Fundamentalsatz der Algebra".
- Fundamental_theorem_of_algebra label "Hoofdstelling van de algebra".
- Fundamental_theorem_of_algebra label "Teorema fondamentale dell'algebra".
- Fundamental_theorem_of_algebra label "Teorema fundamental da álgebra".
- Fundamental_theorem_of_algebra label "Teorema fundamental del álgebra".
- Fundamental_theorem_of_algebra label "Théorème fondamental de l'algèbre".
- Fundamental_theorem_of_algebra label "Zasadnicze twierdzenie algebry".
- Fundamental_theorem_of_algebra label "Основная теорема алгебры".
- Fundamental_theorem_of_algebra label "المبرهنة الأساسية في الجبر".
- Fundamental_theorem_of_algebra label "代数基本定理".
- Fundamental_theorem_of_algebra label "代数学の基本定理".
- Fundamental_theorem_of_algebra sameAs Základní_věta_algebry.
- Fundamental_theorem_of_algebra sameAs Fundamentalsatz_der_Algebra.
- Fundamental_theorem_of_algebra sameAs Θεμελιώδες_θεώρημα_άλγεβρας.
- Fundamental_theorem_of_algebra sameAs Teorema_fundamental_del_álgebra.
- Fundamental_theorem_of_algebra sameAs Théorème_fondamental_de_l'algèbre.
- Fundamental_theorem_of_algebra sameAs Teorema_fondamentale_dell'algebra.
- Fundamental_theorem_of_algebra sameAs 代数学の基本定理.
- Fundamental_theorem_of_algebra sameAs 대수학의_기본_정리.
- Fundamental_theorem_of_algebra sameAs Hoofdstelling_van_de_algebra.
- Fundamental_theorem_of_algebra sameAs Zasadnicze_twierdzenie_algebry.
- Fundamental_theorem_of_algebra sameAs Teorema_fundamental_da_álgebra.
- Fundamental_theorem_of_algebra sameAs m.0dkhl.
- Fundamental_theorem_of_algebra sameAs Q192760.
- Fundamental_theorem_of_algebra sameAs Q192760.
- Fundamental_theorem_of_algebra sameAs Fundamental_theorem_of_algebra.
- Fundamental_theorem_of_algebra wasDerivedFrom Fundamental_theorem_of_algebra?oldid=597436367.
- Fundamental_theorem_of_algebra isPrimaryTopicOf Fundamental_theorem_of_algebra.