A Fundamental Relationship of Polynomials and Its Proof - Advances in Pure Mathematics

APM > Vol.8 No.6, June 2018

Advances in Pure Mathematics

Volume 8, Issue 6 (June 2018)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

A Fundamental Relationship of Polynomials and Its Proof ()

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Download as PDF (Size: 296KB) PP. 559-563

DOI: 10.4236/apm.2018.86033 1,262 Downloads 2,348 Views Citations

Author(s)

Serdar Beji

Affiliation(s)

Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey.

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.

KEYWORDS

Polynomials of Degree n, n^th-Order Finite-Differences, Recurrence Relationship for Polynomials

Share and Cite:

Beji, S. (2018) A Fundamental Relationship of Polynomials and Its Proof. Advances in Pure Mathematics, 8, 559-563. doi: 10.4236/apm.2018.86033.

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