Types of Polynomial

Polynomials can be categorized based on the number of terms they contain. Each category has unique characteristics and applications in mathematics.

  • Monomial
  • Binomial
  • Trinomial

Types of Polynomials (Based on Terms and Degrees)

Types of Polynomials: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations. There are mainly four types of polynomials based on degree-constant polynomial (zero degree), linear polynomial ( 1st degree), quadratic polynomial (2nd degree), and cubic polynomial (3rd degree).

There are 3 types of polynomials based on the number of terms in the polynomial – monomial, binomial, and trinomial, and for more than that we use the general term polynomial. This article is about the types of polynomials – Monomials, Binomials, and Polynomials in detail.

Table of Content

  • Types of Polynomial
  • Monomial
    • Monomial Degree
    • Monomial Operations 
  • Binomial
    • Binomial Equation
    • Operations on Binomials
  • Polynomial
    • Types of Polynomials
  • Degree of a Polynomial
    • Polynomial Equations
    • Solving Polynomials
    • People Also Read:
  • Operations on Types of Polynomials
  • Practice Problems on Types of Polynomials

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Types of Polynomial

Polynomials can be categorized based on the number of terms they contain. Each category has unique characteristics and applications in mathematics....

Monomial

An algebraic expression that contains only one non-zero term is known as a monomial. A monomial is a type of polynomial, like, a binomial and trinomial, which is an algebraic expression having only a single term, which is a non-zero. It consists of only a single term which makes it easy to do the operation of addition, subtraction, and multiplication....

Binomial

An algebraic expression that contains two non-zero terms is known as a binomial. It is expressed in the form axm + bxn where a and b number, x is variable, m and n are nonnegative distinct integers....

Polynomial

An algebraic expression that contains one, two, or more terms is known as a polynomial....

Degree of a Polynomial

In the polynomial equation, the variable having the highest exponent is called the degree of the polynomial....

Operations on Types of Polynomials

Multiplication of Monomials...

Practice Problems on Types of Polynomials

1. Determine the type of the polynomial P(x) = 4x3 – 2x2 + 7x – 5....

FAQs on Types of Polynomials

What are the different types of polynomials based on the number of terms?...