# Basic Concepts of Algebra

The **Variables** and **constant coefficients** combine to form **algebraic terms** and these algebraic terms combine to form **Algebraic expressions**. To combine the algebraic expressions **mathematical operators** are used.

Example of variable : x,y,z

Example of Constant Coefficient: 1,4,9,34

Example of algebraic term:

In an algebraic term , 3 is constant coefficient and is variable.

**Like Terms **

Those algebraic terms in which power of variables are same are like terms.

E.g. and are like terms.

and are like terms.

**Monomial **

If an algebraic expression contain only one term, then it is called a **Monomial .**

E.g.

,

**Binomial**

If an algebraic expression contains two terms, then it is called a **Binomial.**

E.g.

**Trinomial**

If an algebraic expression contains three terms, then it is called a **Trinomial.**

E.g.

**Polynomial**

If an algebraic expression contains two or more terms, then it is called a **Polynomial.**

E.g.

**Polynomial in One Variable **

If an algebraic expression contains only one variable, then it is called a **Polynomial in one Variable.**

E.g.

**Degree of a Polynomial **

The greatest power of the variable in various terms is called **Degree of a polynomial.**

is a polynomial of degree 5.