Polynomials (many terms) are algebraic expressions formed by adding or subtracting monomials (single terms with positive exponents or constants). A Binomial is a polynomial containing two terms, bi meaning two.

In terms of nomenclature, 'bi' means 2 hence binomial means two terms. So in general, a binomial is a polynomial containing two terms. The general form can be written as axn ± bym
A different and simpler way of defining a binomial is that it is an algebraic expression containing two terms connected by a sum of a difference sign. Example: 3x+5y,a+3x, x2-3x…etc.

## What are Binomials?

An algebraic expression which contains two terms is called a binomial.

Examples:

2x -3 This binomial is formed by subtracting 3 from 2x.
x2 + 4y2 The term 4y2 is added to x2 to give a Binomial expression.
The product of many variables yield only monomials
3xyz has three variables namely x, y and z but it is a single term or a monomial. The constant 3 is the coefficient of the term xyz.

More examples for Binomials:
5abc + 6xy
ax + by
$\frac{x^3}{3}$+ $\frac{y^2}{2}$

The verbal expressions are often expressed as Binomials.

 Verbal Expressions Algebraic Expression Three more than a number x + 3 Five added to square of a number z2 + 5 The length of a rectangle is 4 less than twice the width 2w - 4 Dan's age is ten less than half his father's age $\frac{x}{2}$ - 10 sum of the squares on the legs of a right triangle a2 + b2

### Monomials

 Binomial Expansion Binomial Theorem
 Binomial Distributions Binomial Expansions Binomial Distribution Probability Binomial Poisson Distribution Binomial Probability Distribution Binomial Probability Function Binomial Random Variable Definition Algebra Expressions Boolean Expressions How to Simplify Expression What are Math Expressions? Adding and Subtracting Rational Expressions
 Algebra Rational Expressions Calculator Algebraic Expression Calculator Algebraic Expression Examples