Question

Which one of the following is a polynomial? WITH EXPLANATION

Answer 1

Answer:

The first one is only the polynomial.

Step-by-step explanation:

Answer 2

The first one is a polynomial while the second one isn't.

This can be explained as:-

1.)

$x {}^{2} + \frac{3 {x}^{ \frac{3}{2} } }{ \sqrt{x} }$

It can be written as:-

$x {}^{2} + 3x { \frac{}{} }^{ \frac{3}{2} - \frac{1}{2} }$

=> x² +3x

Here in this equation the degree of the polynomial is integer. The exponents of variables in polynomial must be integer and not rational number. And so, we can automatically say that the second one is not a polynomial cause there the exponent of variable is 1/3 which is a rational number. So, it isn't a polynomial.

Cheers!