Which of the following is a quadratic polynomial in one variable ?

\sqrt{2 x^{3}} + 5

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2 x^{2} + 2 x^{- 2}

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x^{2}

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2 x^{2} + y^{2}

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Solution

The correct option is D $x^{2}$
A quadratic polynomial is a polynomial of degree 2.
Here,
$(A)$ It is not a polynomial because it has the degree in fraction.
$(B)$ It is not a polynomial as:- A polynomial by definition is a function given by one term or a sum of terms with real number coefficients where the power of each variable is a non-negative integer.
$(C)$ It is a polynomial of degree $2$ and hence correct. $(A n s w e r)$
$(D)$ It is a polynomial of degree $2$ but not in 1 variables.

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