TITLE:
A Fundamental Relationship of Polynomials and Its Proof
AUTHORS:
Serdar Beji
KEYWORDS:
Polynomials of Degree n, nth-Order Finite-Differences, Recurrence Relationship for Polynomials
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.8 No.6,
June
26,
2018
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 nth-differences of the subsequent values of an nth-order polynomial are constant.