Following expressions are polynomials? Justify your answer: frac{1}{5 x^{-2}}+5 x+7

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2. Polynomials

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The following expressions are polynomials? Justify your answer:

$\frac{1}{5 x^{-2}}+5 x+7$

Option A

Option B

Option C

Option D

Solution

$\frac{1}{5 x^{-2}}+5 x+7=\frac{1}{5} x^{2}+5 x+7$

In each term of this expression, the exponent of the variable $x$ is a whole number.

Hence, it is a polynomial.

Standard 9

Mathematics

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