Chapter A.2, Problem 5E

Solution

The expression is a polynomial or not.

NO

Given:

The expression ,

  $x^3-2x^2+x^{-1}$

Calculation:

To find the expression is a polynomial or not first write the variable of each exponent as shown:

  $x^3=3$

  $2x^2=2$

  $x^{-1}=-1$

Here, the exponent of variable $x^{-1}=-1$ which is not a whole number.

So, this expression is not a polynomial.