Definition:Polynomial/Real Numbers

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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


Sources