Terms are separated by addition or subtraction signs.
There are three parts separated by two addition/subtraction signs.
That means there are three terms.
Number 2 Explanation:
Polynomials can't have negative exponents.
Polynomials can't have fractional exponents on variables or roots of variables.
For the first option, [tex]\frac{1}{x}[/tex] can also be written as [tex]x^{-1}[/tex], so it has a negative exponent and is not a polynomial.
The second and third options follow polynomial rules.
The fourth option has [tex]x^{\frac{1}{2} }[/tex], which is the same thing as [tex]\sqrt{x}[/tex]. Polynomials can't have roots of variables (or fractional exponents on variables), so this isn't a polynomial.