Chattopadhyay, Siddhartha Sankar
(2022)
On a Generalization of a
Problem on Factorisation.
At Right Angles (13).
pp. 5153.
ISSN 25821873
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.
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