Which of following expressions are polynomials in one variable and which are not ? State reasons for

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2. Polynomials

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Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $y+\frac{2}{y}$

Option A

Option B

Option C

Option D

Solution

$y+\frac{2}{y}$ $\Rightarrow $ $y+2 \cdot y^{-1}$

$\because $ $(-1)$ is not a whole number.

$\therefore $ $y +2 y ^{-1},$ i.e. $y +\frac{2}{ y }$ is not a polynomial.

Standard 9

Mathematics

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