Answer:
Non negative whole numbers
Can be 0,1,2.....
Explanation:
In Mathematics, a polynomial is defined as
i) an expression consisting of variables, and coefficients.
ii) It involves only operation of addition, subtraction, multiplication of non-negative exponents of variables.
From the above we find that a polynomial can have variables with degree 0,1,2.....
But the degree should not be negative
and the degree should be a whole number only
Square root or cube root sign with variables will not make the function a polynomial
So possible degrees of polynomial function are all variables must have non negative integer values only as degrees.