Exploring on the Basic Properties of Polynomial

Abstract

The polynomial is the important conception of algebra and even whole, but are not strictly defined it in elementary mathematics, the concept and nature of use it directly. In essence it is imprecise. According to the strict definition of algebra, it should be used to form to real number of all sequences to define it. In this paper, we begin by defining and developing notation for polynomials in one indeterminate over a ring. And using real number all sequences as the definition of a polynomial, then define polynomial addition, and polynomial multiplication, finally define ring of multivariate polynomial, and proves that the nature of it