Quadratic expression

A polynomial whose degree is two, is called a quadratic expression.

Introduction

A polynomial is a mathematical expression, which can be defined in a variable. In a special case, the highest exponent of the variable is two. Hence, the polynomial is mathematically called a quadratic expression.

$(1).\,\,\,$ $x^2-5x+6$

$(2).\,\,\,$ $3y^2+4y$

$(3).\,\,\,$ $-6z^2+7$

The above three example expressions are three different polynomials, which are defined in the variables $x$, $y$ and $z$ respectively. In all three expressions, the highest power of the variable is two. Therefore, each polynomial is called a quadratic expression.

General form

Let $a$, $b$ and $c$ represent three constants, and $x$ represents a variable. A quadratic expression in standard form is written in mathematics as follows.

$ax^2+bx+c$

In this general form, the constant $a$ is called the literal coefficient of $x$ squared and the constant $b$ is called the literal coefficient of $x$.

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