Definition:Polynomial/Real Numbers

Definition
A polynomial (in $\R$) is an expression of the form:


 * $\displaystyle \map P x = \sum_{j \mathop = 0}^n \paren {a_j x^j} = a_0 + a_1 x + a_2 x^2 + \cdots + a_{n - 1} x^{n - 1} + a_n x^n$

where:
 * $x \in \R$
 * $a_0, \ldots a_n \in \mathbb k$ where $\mathbb k$ is one of the standard number sets $\Z, \Q, \R$.

Also see

 * Definition:Polynomial over Complex Numbers


 * Definition:Real Polynomial Function
 * Definition:Complex Polynomial Function