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Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:$ x-\frac{4}{x} $
Given:
The given expression is \( x-\frac{4}{x} \).
To do:
We have to find whether the given expression is a polynomial in one variable.
Solution:
Polynomials:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
\( x-\frac{4}{x} \) can be written as $x-4x^{-1}$. Here, the variable in the term $-4x^{-1}$ is raised to the power $-1$ which is not a whole number.
Therefore, \( x-\frac{4}{x} \) is not a polynomial.
Updated on: 10-Oct-2022
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