Question

Which among the following is a polynomial?

• A. $\sqrt{2}$$u^2+3v^2-\left(\frac{5}{2}\right)uv+2$
• B. $u^2+3v^2-\left(\frac{5}{2}\right)u^{-2}v+2$
• C. $u^2+3v^2-\left(\frac{5}{2}\right)u{v}^{-3}+2$
• D. $\sqrt{2}{u}^2+3v^{-2}-\left(\frac{5}{2}\right)uv+2$

Answer 1

The correct option is A $\sqrt{2}$$u^2+3v^2-\left(\frac{5}{2}\right)uv+2$

$\underset{–}{Concept}$:
Net exponents of variables in a polynomial is a whole number.

$\underset{–}{Method}$:
$u^2+3v^2-\left(\frac{5}{2}\right)uv+2$
Each of the terms in this expression has a whole number exponent. So, this is a polynomial expression.

Exponents of variables, on the other hand, are not a whole number when we consider additional choices.