Question

Hello good morning May I get some help with this question?

Answer 1

We want to check if the following is a polynomial

`f(x)=6-(5)/(x^5)`

Now, let us write the function in standard form

`\begin{gathered} f(x)=6-(5)/(x^5) \\ f(x)=6-5*(1)/(x^5) \\ f(x)=6-5* x^(-5) \\ f(x)=6-5x^(-5) \end{gathered}`

Hence, the function in standard form is

`f(x)=-5x^(-5)+6`

The function is not a polynomial because it has an x raise to a negative number. Polynomials should have positive powers.

The leading term of the polynomial is

`-5x^(-5)`

The constant term is 6