Math Doubts

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 $x$.

Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved