Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fundamental_Theorem_of_Algebra
|
| gptkbp:appliesTo |
polynomials with complex coefficients
|
| gptkbp:category |
theorems in algebra
theorems in complex analysis |
| gptkbp:field |
gptkb:algebra
complex analysis |
| gptkbp:firstProofBy |
gptkb:Jean_le_Rond_d'Alembert
|
| gptkbp:firstRigorousProofBy |
gptkb:Carl_Friedrich_Gauss
|
| https://www.w3.org/2000/01/rdf-schema#label |
d'Alembert–Gauss theorem
|
| gptkbp:implies |
A degree n polynomial has exactly n complex roots, counting multiplicities
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Jean_le_Rond_d'Alembert |
| gptkbp:state |
Every non-constant single-variable polynomial with complex coefficients has at least one complex root
|
| gptkbp:yearProved |
1799
|
| gptkbp:bfsParent |
gptkb:fundamental_theorem_of_algebra
|
| gptkbp:bfsLayer |
6
|