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 $x^{2}$
Polynomials in one variable are algebraic expressions that consist of terms in the form $a x^{n}$

Here $n$ is a non-negative (i.e. positive or zero) integer and $a$ is a real number and is called the coefficient of the term.

The degree of a polynomial in one variable is the largest exponent in the polynomial.

And for quadratic polynomial $n = 2.$

Hence the only quadratic polynomial in one variable is $x^{2}$

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