Factorization of the quintic x5+ x + n
Date of Publication
1993
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Accession Number
TU06294
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
[74] leaves
Keywords
Factorization of operators; Equations, Quintic; Factors (Algebra); Polynomials
Recommended Citation
Soriano, S. B., & Tan, R. A. (1993). Factorization of the quintic x5+ x + n. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16114
