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Definition of a Polynomial
The formal definition, at least according to Wikipedia, is "an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative, whole-number exponents."
What does that mean? Well, a polynomial is something that looks like this:
It contains variables (x), it uses multiplication, subtraction, and addition, and has a positive, whole-number exponent.