Answer:
B. [tex]-6x^3+x^2+\sqrt{5}[/tex]
Step-by-step explanation:
For an algebraic expression to be a polynomial it must have:
1)Variable
2)Constants
3) Exponents of variables which has to be whole number.
These can be combined by math operations except by division of variable
A. [tex]4x^2-3x+\frac{2}{x}[/tex]
Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.
B. [tex]-6x^3+x^2+\sqrt{5}[/tex]
It is a polynomial as it has variables with positive exponents and a constant term.
C. [tex]8x^2+\sqrt{x}[/tex]
Not a polynomial the last term[ [tex]\sqrt x= x^{\frac{1}{2}}[/tex]] has a variable with exponent which is not a whole number. This disqualifies it to be a polynomial.
D. [tex]-2x^4+\frac{3}{2x}[/tex]
Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.
