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Linear Polynomial

State whether...

Question

State whether the following expression are polynomials or not? Justify your answer.
$\frac{1}{2 x}$

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Solution

$\frac{1}{2 x} = \frac{1}{2} x^{- 1}$
Here, the exponent of the variable x is $- 1,$ which is not a whole number so, this algebraic expression is not a polynomial.

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