Factorization of the quintic x5+ x + n
This thesis presents a factorization of a special quintic x5 + x + n, where n is an integer, as a product of a quadratic polynomial and a cubic polynomial.In the article The Factorization of x5 + x + n found in Mathematics Magazine, Stanley Rabinowitz presents a solution for finding n for which the...
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| Main Authors: | , |
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| 格式: | text |
| 語言: | English |
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Animo Repository
1993
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| 在線閱讀: | https://animorepository.dlsu.edu.ph/etd_bachelors/16114 |
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| 機構: | De La Salle University |
| 語言: | English |
| 總結: | This thesis presents a factorization of a special quintic x5 + x + n, where n is an integer, as a product of a quadratic polynomial and a cubic polynomial.In the article The Factorization of x5 + x + n found in Mathematics Magazine, Stanley Rabinowitz presents a solution for finding n for which the said quintic is reducible. The solution shows that +1, +6, +15, +22440, and +2759640 are the only integers for which such polynomial factors into the product of an irreducible quadratic and cubic polynomial. The researchers give a comprehensive algebraic solution in the factorization of the quintic x5 + x + n and include the details in the discussion and the proofs of the theorems which the author of the above-mentioned article failed to provide. |
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