The Role of Polynomials in Solving Algebraic Equations

Author(s)	Mr. Aniruddha Kumar
Country	India
Abstract	Polynomial equations form the backbone of modern algebra, serving as indispensable tools across scientific and engineering disciplines. These mathematical expressions, characterized by variables with non-negative integer exponents and their coefficients, enable the modeling and solution of complex problems in fields ranging from quantum physics to financial analysis. This paper presents a systematic examination of polynomial theory, beginning with fundamental classifications and progressing through both traditional and contemporary solution methods. We explore the evolution of solving techniques from ancient algebraic methods to modern computational algorithms, while highlighting significant applications in technology and science. The discussion emphasizes current numerical approaches and their implementation in solving real-world problems where exact solutions prove intractable.
Keywords	Polynomial equations Polynomial theory Algebraic methods Non-negative integer exponents Coefficients Numerical approaches
Field	Mathematics
Published In	Volume 7, Issue 2, March-April 2025
Published On	2025-04-26
DOI	https://doi.org/10.36948/ijfmr.2025.v07i02.42765

About IJFMR Fees & Payment Current Issue Publication Archive	Submit Research Paper Track Submission Status Publication Guidelines Publication Ethics Peer Review & Plagiarism	Join as a Reviewer Editors & Reviewers Reviewer Referral Program Get Reviewer Membership Certi.	Website/Journal Policies Usage Policy Content Policies Privacy Policy

Contact Us		+91-9687-828-838	editor@ijfmr.com

International Journal For Multidisciplinary Research