Verify whether the following expression is a polynomial?
$1 + x^{- 1} + x^{2}$

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Solution

No, the following expression is not polynomial
$1 + x^{- 1} + x^{2}$
$(- 1)$ Can't be the power of $x$ .
Only positive powers of $x$ are allowed.

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Verify whether the following expression is a polynomial?1+x−1+x2

No, the following expression is not polynomial 1+x−1+x2(−1) Can't be the power of x.Only positive powers of x are allowed.

Verify whether the following expression is a polynomial?
$1 + x^{- 1} + x^{2}$

No, the following expression is not polynomial
$1 + x^{- 1} + x^{2}$
$(- 1)$ Can't be the power of $x$ .
Only positive powers of $x$ are allowed.