# How do you determine if #a-a^2# is a polynomial and if so, how do you identify if it is a monomial, binomial, or trinomial?

##### 1 Answer

Nov 7, 2017

See explanation.

#### Explanation:

Any expression in a form:

is a polynomial of variable

The expression given can be written as:

#a-a^2=-a^2+a#

So it is in the form given above, so it is a **polynomial**.

To determine if it is a mono-, bi-, or trinomial you have to check the number of elements in the sum. Here we have 2 elements: **binomial**.