In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Can a square root be a polynomial function?

Functions containing other operations, such as square roots, are not polynomials.

Can there be roots in a polynomial?

The roots of a polynomial can be real or imaginary. So if you have a polynomial of the 5th degree it might have five real roots, it might have three real roots and two imaginary roots, and so on.