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: Soriano, Sonia B., Tan, Rachelle A.
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語言:English
出版: 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
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-166272022-01-28T03:49:15Z Factorization of the quintic x5+ x + n Soriano, Sonia B. Tan, Rachelle A. 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. 1993-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16114 Bachelor's Theses English Animo Repository Factorization of operators Equations, Quintic Factors (Algebra) Polynomials
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Factorization of operators
Equations, Quintic
Factors (Algebra)
Polynomials
spellingShingle Factorization of operators
Equations, Quintic
Factors (Algebra)
Polynomials
Soriano, Sonia B.
Tan, Rachelle A.
Factorization of the quintic x5+ x + n
description 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.
format text
author Soriano, Sonia B.
Tan, Rachelle A.
author_facet Soriano, Sonia B.
Tan, Rachelle A.
author_sort Soriano, Sonia B.
title Factorization of the quintic x5+ x + n
title_short Factorization of the quintic x5+ x + n
title_full Factorization of the quintic x5+ x + n
title_fullStr Factorization of the quintic x5+ x + n
title_full_unstemmed Factorization of the quintic x5+ x + n
title_sort factorization of the quintic x5+ x + n
publisher Animo Repository
publishDate 1993
url https://animorepository.dlsu.edu.ph/etd_bachelors/16114
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