Which one of the following is a polynomial? - Vidyadip

MCQ

Which one of the following is a polynomial?

A
$\sqrt{2\text{x}}-1$
B
$\frac{\text{x}^2}{2}-\frac{2}{\text{x}^2}$
C
$\frac{\text{x}-1}{\text{x}+1}$
D
$\text{x}^2+\frac{3\text{x}^{\frac{3}{2}}}{\sqrt{\text{x}}}$

✓

Answer

$\text{x}^2+\frac{3\text{x}^{\frac{3}{2}}}{\sqrt{\text{x}}}$
Solution:
Since the power of the variable of all terms of a polynomial should be a whole number. Then $\text{x}^2+\frac{3\text{x}^{\frac{3}{2}}}{\sqrt{x}}$
$=\text{x}^2+3\text{x}^{\frac{3}{2}-\frac{1}{2}}$
$=\text{x}^2+3\text{x}^{\frac{2}{2}}$
$=\text{x}^2+3\text{x}$
Here the powers of variable are whole number. therefore the given expression is a polynomial.

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