Question

is a polynomial expression.

• A. $x+\frac{1}{x}$
• B. $x^2+\sqrt{x}$
• C. $x^2+\sqrt{2}x$

Answer 1

The correct option is C $x^2+\sqrt{2}x$

We know that for the polynomial expression, all the exponents have to be whole numbers.
$\Rightarrow x+\frac{1}{x}=x+x^{-1}\to x^{-1}$ has negative integer exponent.

$\Rightarrow x^2+\sqrt{x}\to \sqrt{x}$ has exponent in fraction.

$\Rightarrow x^2+\sqrt{2}x\to$ all the terms have exponents in whole numbers.