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A Fundamental Relationship of Polynomials and Its Proof
Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
- 1 Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
Advances in Pure Mathematics·Volume 08 (2018)·Pages 559–563·Published 20 June 2018·DOI10.4236/apm.2018.86033
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Abstract
A fundamental algebraic relationship for a general polynomial of degree n is given and proven by mathematical induction. The stated relationship is based on the well-known property of polynomials that the n th - differences of the subsequent values of an n th - order polynomial are constant.
KeywordsPolynomials of Degree nn<sup>th</sup>-Order Finite-DifferencesRecurrence Relationship for Polynomials
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