Answer:
B.
![-6x^3+x^2+√(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2d492npwf01wb7twz20jem9sack1ne645g.png)
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.
![4x^2-3x+(2)/(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ngni9qhquv5jesc96ttp2scxmqpyy1jhhj.png)
Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.
B.
![-6x^3+x^2+√(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2d492npwf01wb7twz20jem9sack1ne645g.png)
It is a polynomial as it has variables with positive exponents and a constant term.
C.
![8x^2+√(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2n5jp591u7wnrxm25wxtbdfjnjuaa8ye7u.png)
Not a polynomial the last term[
] has a variable with exponent which is not a whole number. This disqualifies it to be a polynomial.
D.
![-2x^4+(3)/(2x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c1808jaysfqjyjqwaw4m6lbrdk7u6p9e4f.png)
Not a polynomial the last term is a division by variable. This disqualifies it to be a polynomial.