polynomial

 

Polynomial and its Types

Introduction

In Maths, Polynomial is a concept which is studied under Algebra branch. Before going to definition of a polynomial and its various types, lets go through once the basic terms those comprise polynomials. 

Variable

Variables are defined and used in algebra. Its definition states that a symbol which can be used to assign different nume

Constant

In Math, a symbol having a fixed value is called a constant. rical value is known as variable.

What is an Algebraic Expression?

A combination of constants and variables connected by some or all basic operations x $+$, $-$-, +$\times$, $÷$ is called an algebraic expression.

Definition of Polynomial

An algebraic expression in which variables involved are having non negative integral powers is called a polynomial.

What are the types of polynomial?

Polynomial has different types depending upon the degree of polynomial and number of terms involved in the polynomial.

Types of polynomial on the basis of number of terms

Polynomials are classified and named on the basis of the number of terms it has.

In general, the naming of type of polynomial is written by prefixing the words mono, bi and tri to “nomial”.

Where mono refers to one, bi refers to two and tri refers to three.

The types are monomial, binomial and trinomial.

Let’s have a look all the three types of polynomial with their examples.

Monomial

A polynomial containing one non zero term is called monomial.

Binomial

A polynomial containing two non zero terms is called binomial.

Trinomial

A polynomial containing three non zero terms is called trinomial.

Quadrinomial polynomial

A polynomial containing four terms is called quadrinomial polynomial.

Quintrinomial polynomial

A polynomial containing five terms is called quintrinomial polynomial.

Types of polynomial on the basis of degree of a polynomial

Linear polynomial

A polynomial of degree 1 is called linear polynomial. A linear polynomial in one variable can have at most two terms.

Quadratic polynomial

A polynomial of degree 2 is called quadratic polynomial. A quadratic polynomial in one variable can have at most three terms.

Cubic polynomial

A polynomial of degree 3 is called cubic polynomial. A cubic polynomial in one variable can have at most four terms.

Biquadratic polynomial

A polynomial of degree 4 is called biquadratic polynomial. A biquadratic polynomial in one variable can have at most five terms.

What is a Constant Polynomial?

A polynomial of degree 0 is called constant polynomial.

What is a Zero Polynomial?

A polynomial is said to be zero polynomial if all coefficients are equal to zero.