On a Generalization of a Problem on Factorisation

Chattopadhyay, Siddhartha Sankar (2022) On a Generalization of a Problem on Factorisation. At Right Angles (13). pp. 51-53. ISSN 2582-1873

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Abstract

I n high school mathematics, we come across the topic of factorisation of polynomials with integer or rational coefficients. Usually, we only consider factorisation of polynomials of low degrees. Checking whether or not a polynomial of higher degree such as X37 − 27X11 + 3 is factorizable turns out to be a difficult problem. Although there are some methods available in higher mathematics to deal with such problems, the tools and techniques of high school mathematics seem to be of little use for addressing such problems. In this article, we discuss the factorization of a particular infinite family of polynomials of arbitrary degree.

Item Type:	Articles in APF Magazines
Authors:	Chattopadhyay, Siddhartha Sankar
Document Language:	Language English
Uncontrolled Keywords:	Polynomial, factorisation, integer, rational, coefficient, degree
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/3752
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