Question

Determine if the expression -p^2+9p^{-5}-p^3−p 2 +9p −5 −p 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomimal.

Answer 1

`p^2+9p^(-5)-p^3` is not polynomial.

Explanation:

We have been given an expression
`p^2+9p^(-5)-p^3`. We are asked to determine whether the given expression is polynomial or not.

We know that a polynomial expression is in form
`ax^n`, 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.