SOLUTION
We want to check if the following is a polynomial
[tex]f(x)=6-\frac{5}{x^5}[/tex]
Now, let us write the function in standard form
[tex]\begin{gathered} f(x)=6-\frac{5}{x^5} \\ f(x)=6-5\times\frac{1}{x^5} \\ f(x)=6-5\times x^{-5} \\ f(x)=6-5x^{-5} \end{gathered}[/tex]
Hence, the function in standard form is
[tex]f(x)=-5x^{-5}+6[/tex]
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
[tex]-5x^{-5}[/tex]
The constant term is 6
