A polynomial is defined as an expression which contains variables, constant and exponent and involves operations like addition, multiplication, subtraction and division. Polynomial was derived from ** poly **(meaning

**) and**

*many***(meaning**

*nomial***).**

*term***Example:**

*x**Ā² + 4x +5*

Is a polynomial of 2 degree. It has three terms and only one variable that is *(x). *

## Degree

The degree of the polynomial is the largest exponent of a variable. For example, *3y**āµ + 2y*** Ā²x -7** the highest degree in this polynomial is 5 and there are 2 variables in this polynomial that

**and**

*(x)*

*(y).*If we take another example like *z*** Ā³ + 15zĀ²y -1/2. **Here the highest degree will be 3 and the order of degree will be 3 since it is the largest then 2 and 1.

## Properties of Polynomial

- Polynomials can have no variable at all. For example 81 is a polynomial which is a constant.
- Polynomial can have one variable or more than one variable.
- If a constant or intermediate is divided by a variable then it is not a polynomial.
- A polynomial cannot have an exponent in negative.

x