Question

Which algebraic expression is a polynomial?

Answer 1

B

Explanation:

Answer 2

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

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+(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+(3)/(2x)`

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

Therefore, Option 2 is correct.