Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not

$5 x^{2}-7 x+3 \sqrt{x}$

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Given expression $5 x^{2}-7 x+3 \sqrt{x}$ is not a polynomial because in term $3 \sqrt{x}=3 x^{\frac{1}{2}}$ the exponent of $x$ is a fractional number.

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