# Is #x^2+3x^{\frac{1}{2}}# a polynomial?

##### 1 Answer

Jun 4, 2018

No.

#### Explanation:

Definition of a Polynomial:

1) 2 or more terms

2) No division by any variable

3) Exponents can only be natural numbers (0, 1, 2...)

4) Finite number of terms

This expression fails rule #3 so it is not a polynomial.