# Is #f(x) (x^2 - 3x - 4)/(x^2 + 1)# a polynomial?

##### 1 Answer

Jan 30, 2017

It is not a polynomial but an algebraic expression.

#### Explanation:

A **polynomial** is an expression consisting of

and they involves **only the operations of addition, subtraction, multiplication, and non-negative integer exponents**

It is of type

but not

and is called an **algebraic expression**.