CLASS-6
ALGEBRA - BINOMIAL 

BINOMIAL -

In algebra, a binomial is an algebraic expression or polynomial that consists of exactly two unlike terms connected by either addition or subtraction. Binomials are a fundamental concept in algebra and are often used to represent various mathematical relationships. Here are some key characteristics and examples of binomials:

  1. Two Terms:- A binomial is composed of two terms, and each term can be a combination of constants, variables, and exponents.
  2. Unlike Terms:- The two terms in a binomial must be different from each other. They may differ in variables, exponents, or constants.
  3. Operator:- The two terms in a binomial are connected by either an addition (+) or subtraction (-) operator.

Examples of Binomials:-

  1. Linear Binomial:- "3x + 2" is a binomial consisting of two unlike terms connected by addition. The first term is "3x" (a linear term involving the variable "x" raised to the first power), and the second term is "2" (a constant).
  2. Quadratic Binomial:- "2y² - 5" is a binomial consisting of two unlike terms connected by subtraction. The first term is "2y²" (a quadratic term involving the variable "y" raised to the second power), and the second term is "-5" (a constant).
  3. Constant Binomial:- "7 + 1" is a binomial consisting of two constant terms connected by addition.
  4. Variable Binomial:- "a - b" is a binomial consisting of two terms, one involving the variable "a" and the other involving the variable "b," connected by subtraction.
  5. Mixed Binomial:- "4x²- 3y" is a binomial consisting of a quadratic term and a linear term, connected by subtraction.


A binomial is an algebraic expression that has two non-zero terms.

Examples of a binomial expression(Another way of understanding):-

·  a²+ 2b is a binomial in two variables a and b.

·  5x³– 9y² is a binomial in two variables x and y.

· -11p – q² is a binomial in two variables p and q.

·   m + n is a binomial in two variables m and n.

·   b³/2 + c/3 is a binomial in two variables b and c.

·   5m²n²+ 1/7 is a binomial in two variables m and n.

Binomials are often used in algebra to represent and simplify various mathematical relationships, solve equations, and model real-world problems. They can be added or subtracted to create more complex expressions or polynomials. Understanding binomials is essential for algebraic problem-solving and modeling.