Answer:
Option 2 - [tex]-6x^3+x^2-\sqrt5[/tex]
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 - [tex]4x^2-3x+\frac{2}{x}[/tex]
This is not a polynomial because it has a negative exponent.
Option 2 - [tex]-6x^3+x^2-\sqrt5[/tex]
This is a polynomial by definition.
Option 3 - [tex]8x^2+\sqrt x[/tex]
This is not a polynomial as [tex]\sqrt x[/tex] is not considerable.
Option 4 - [tex]-2x^4+\frac{3}{2x}[/tex]
This is not a polynomial because it has a negative exponent.
Therefore, Option 2 is correct.
