No. It would not be a polynomial function then.
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why the exponents can not be negative
In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.
Polynomial
highest total of the exponents
It means that it has constants and variables that has a form of something like 7x2+2x+5 or something like that. Variables can not be used as exponents though, and exponents have to be whole numbers. Also, variables can not be a denominator.