What is a Monomial?

Before we get into all the fun things we can do with monomials, we better first define a monomial! It sounds like a strange word, but let's look at it's prefix.

Monomial - the prefix mono means one.

A monomial is one term.

A monomial can be any of the following:


In the equations unit, we said that terms were separated by a plus sign or a minus sign. Therefore:


Tip

A monomial CANNOT contain a plus sign (+) or a minus (-) sign.

Let's take a look at one more example.


Which is NOT a Monomial?


Of the following three terms, which one is NOT a monomial?

1. 9xyz


2. (3xy)2


3. 2x+2y3



Solution



Did you pick number 3?

If so, you are correct! 2x+2y3 is not a monomial because there is a plus sign. In this case, we are adding 2 monomials!


Ok... I think you are ready to move on to multiplying monomials!


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