Answer:
B.[tex]-6x^3+x^2-\sqrt5[/tex]
Step-by-step explanation:
Polynomial of one variable:It is that expression in which power of each variable in the given should be a whole number.The highest power of variable is called degree of polynomial.
Power of variable in given terms cannot be negative or fraction.
A.[tex]4x^2-3x+\frac{2}{x}[/tex]
It can be write as
[tex]4x^2-3x+2x^{-1}[/tex]
By definition of polynomial of one variable , it is not a polynomial.
B.[tex]-6x^3+x^2-\sqrt5[/tex]
By definition of polynomial of one variable , it is a polynomial.
C.[tex]8x^2+\sqrt{x}[/tex]
By definition of polynomial of one variable, it is not a polynomial.
D.[tex]-2x^4+\frac{3}{2x}[/tex]
By definition of polynomial of one variable,it is not a polynomial.
Hence, option B is true.
