# Polynomial of One Variable

Consider the following examples,

8*x*, 22*x*, *x*

Â

**Example :**

From the above examples, we see that the expressions are of the form (a Constant)

**Â´**(a Variable). Here in the above examples, the numerical values are constant and for different values of

*x*we get different values.

Here, the algebraic expressions contains only one variable, so it is a polynomial in one variable.

If we consider a cube of side 3 units, the volume of the cube is 27 cubic units. In general, if we consider the side of the cube to be * x* units, the volume of the cube is calculated by cubic units .

Â

Â

Here we get an Algebraic expression , where * x* is the only variable.

Here, the expression involves only one variable , so it is a polynomial in one variable.

Algebraic expressions of the type,

is a polynomial inÂ **x**

is a polynomial in y

Algebraic Expressions involving only one variable is a polynomial in one variable.

In the polynomial,

are the terms of the polynomial and the polynomial has four terms. Each term of the polynomial has a the coefficient.

The coefficient of** **is 2.

The coefficient of is 3.

The coefficient of *x*^{1} is 5.

The coefficient of *x*^{0 }is 12

The constant term 12 is called the constant polynomial.

The Polynomial 0 is called zero polynomial. All coefficients of zero polynomial is equal to zero.