Which of the following expressions are polynomials?
(i) $x^{2} + 4$
(ii) $4 - x^{- 1}$
(iii) $2 x^{2} - \frac{2}{x}$

i, ii, iii

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ii, iii

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iii

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Solution

The correct option is B
i

Polynomials cannot have variables with exponents as negative integers. So, (ii) and (iii) are not polynomials as the variable 'x' has negative exponents.

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Similar questions

Which of the following expressions are polynomials?
(i) $x^{2} + 4$
(ii) $4 - x^{- 1}$
(iii) $2 x^{2} - \frac{2}{x}$

Which of the following expressions are polynomials?
(i) $x^{2}$ + 4
(ii) $4 - x^{- 1}$
(iii) $2 x^{2}$ - $\frac{2}{x}$

Which of the following expressions are polynomials?
(i) $x^{2} + 4 + y^{3}$
(ii) $4 - x^{- 1} + z^{3}$
(iii) $2 x^{2} - \frac{2}{x}$

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