Answer:
[tex]X^{-6}[/tex] is not a polynomial.
Step-by-step explanation:
Given : an expression [tex]X^{-6}[/tex]
We have to check whether given expression [tex]X^{-6}[/tex] is a polynomial or not.
An expression is said to be polynomial if it is the collection of constant and one or several variables having non negative integer power or degree.
Example : [tex]2x^2+3x+1, x^5,m^2+n^5[/tex]
For the given expression [tex]X^{-6}[/tex] the variable term is X is having power of -6 which is negative.
Hence, [tex]X^{-6}[/tex] is not a polynomial.