User:Ascii/Definition:Quadratic Polynomial

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Definition

A quadratic polynomial is an expression of the form:

$a x^2 + b x + c$

where:

$x \in \R$
$a, b, c \in \mathbb k$ where $\mathbb k$ is one of the standard number sets $\Z, \Q, \R$.


In more general treatments of polynomials it can be defined as of the form:

$a_0 + a_1 x + a_2 x^2$

where:

$x \in \R$
$a, b, c \in \mathbb k$ where $\mathbb k$ is one of the standard number sets $\Z, \Q, \R$.