# what is a coefficient

## Factors:

Each term in an algebraic expression is a product of one or more number(s) and / or literal number(s). These number(s) and / or literal number(s) are known as the factors of that term. For example:

The monomial 7x is the product of number 7 and literal x. So, 7 and x are factors of the monomial 7x.

In the binomial and are two terms. In the tem for instance, 3, x and y are its factors. Clearly, number 3 is the numerical factor, and x and y are literal factors.

In the term - the numerical factor is – 4 whereas x, yand z are literal factors.

In the binomial expression the term has −1 as the numerical factor while x and y are literal factors. The term 3 has only numerical factor. It has no literal factor.

In the algebraic expression the term ab has numerical factor as 1 and literal factors are a and b. The term has numerical factor as −1 and literal factors are c and The third term −7 has no literal factor.

### Coefficient:

In a term of an algebraic expression, any of the factors with the sign of the term is called the coefficient of the product of the other factors.

### Constant Term:

A term of the expression having no literal factor is called a constant term. For example:

In the binomial expression the constant term is 7.

In the trinomial expression the constant term is

### Like terms and unlike terms:

The terms having the same literal factors are called the like terms other wise they are known as unlike terms.

In the expressions 2xy + 3x – 7xy + 5x,  (2xy, – 7xy) and (3x, 5x) are like terms [have same literals factors]

3x, – 7xy are unlike terms [do not have same literal factors]