Question

Is X - ^6 a polynomial?

Answer 1

`X^(-6)` is not a polynomial.

Explanation:

Given : an expression
`X^(-6)`

We have to check whether given expression
`X^(-6)` 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 :
`2x^2+3x+1, x^5,m^2+n^5`

For the given expression
`X^(-6)` the variable term is X is having power of -6 which is negative.

Hence,
`X^(-6)` is not a polynomial.