Polynomial/Field/1/Definition

Polynomial in one variable

Let ${}K$ be a field. An expression of the form

${}P=a_{0}+a_{1}X+a_{2}X^{2}+\cdots +a_{n}X^{n}\,,$

with ${}a_{i}\in K$ and ${}n\in \mathbb {N}$, is called a polynomial in one variable over ${}K$.