﻿ [Answered] What is a Binomial, as well as an example and some non-examples of a commonly confused... # Binomial

The definition of a binomial is a reduced expression of two terms.

### Examples of a binomial are

 Examples Explanation of example x + 3 This expression has two terms, 'x' and '3' that are not like. x2 + 5 This expression has two terms, 'x2' and '3' that are not like. x2 + x This expression has two terms, 'x2' and x' that are not like. x + 3 +2 This expression actually can be simplified to x + 5 which is an expression that has two unlike terms. x + x + 3 This can be rewritten as 2x +3 which is an expression with two unlike terms.

On the other hand, x+2x is not a binomial because x and 2x are like terms and can be reduced to 3x which is only one term. Remember, a binomial needs to be two separate terms that cannot be combined further.

### Non examples of a binomial are

 Examples Explanation of example 3 + 2 This expression can be rewritten as 5, which is only a single term. Remember we need 2 unlike terms for a binomial x2 This expression only has 1 term. x + x This expression can be rewritten as 2x, which is only a single term. Remember we need 2 unlike terms for a binomial x2 + 3x + 5 This expression has three terms. (Not a binomial but actually a trinomial)