This is a 7th degree polynomial:
This guy has 7 letters...
The degree is 7.
This is a 1st degree polynomial:
This guy has 1 letter...
The degree is 1.
What about this guy?
many letters does he have?
So, he's a zero degree polynomial.
By the way, the coefficients don't have anything to do with the degree.
Find the degree:
Before we go on, I want you to know that Algebra isn't going to be just a bunch of weird words that you don't understand. I just had to start with some words at the beginning so you'd know what the heck I'm talking about!