Question

Which algebraic expression is a polynomial?

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Answer:

Option 2 -  $-6x^3+x^2-\sqrt5$

Step-by-step explanation:

To find : Which algebraic expression is a polynomial?

Solution :

Polynomial is defined is the expression consisting of several terms with variable and constant.

Polynomial is always positive not a negative exponential.

Option 1 - $4x^2-3x+\frac{2}{x}$

This is not a polynomial because it has a negative exponent.

Option 2 - $-6x^3+x^2-\sqrt5$

This is a polynomial by definition.

Option 3 - $8x^2+\sqrt x$

This is not a polynomial as  $\sqrt x$ is not considerable.

Option 4 - $-2x^4+\frac{3}{2x}$

This is not a polynomial because it has a negative exponent.

Therefore, Option 2 is correct.