An elementary algebraic proof of the fundamental theorem of algebra
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929719971151872 |
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| author | Clark, Katelyn S. Nielsen, Pace P. |
| author_facet | Clark, Katelyn S. Nielsen, Pace P. |
| contents | We give a new proof of the fundamental theorem of algebra. It is entirely elementary, focused on using long division to its fullest extent. Further, the method quickly recovers a more general version of the theorem recently obtained by Joseph Shipman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An elementary algebraic proof of the fundamental theorem of algebra Clark, Katelyn S. Nielsen, Pace P. Commutative Algebra History and Overview Number Theory 12D05, 12F05 We give a new proof of the fundamental theorem of algebra. It is entirely elementary, focused on using long division to its fullest extent. Further, the method quickly recovers a more general version of the theorem recently obtained by Joseph Shipman. |
| title | An elementary algebraic proof of the fundamental theorem of algebra |
| topic | Commutative Algebra History and Overview Number Theory 12D05, 12F05 |
| url | https://arxiv.org/abs/2502.13273 |