Answer:
[tex]p^2+9p^{-5}-p^3[/tex] is not polynomial.
Step-by-step explanation:
We have been given an expression [tex]p^2+9p^{-5}-p^3[/tex]. We are asked to determine whether the given expression is polynomial or not.
We know that a polynomial expression is in form [tex]ax^n[/tex], where n is a non-negative number and a is a constant.
Upon looking at our given expression, we can see that it has a negative exponent.
Since exponents in polynomials must be positive, therefore, our given expression is not a polynomial.