User:Ascii/Definition:Quadratic Polynomial

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 $\Z, \Q, \R$.