Option D: The expression has a variable raised to a fraction.
Explanation:
The given expression is [tex]\frac{33}{16} -62y^2xy-35z^{\frac{1}{3}}y^2[/tex]
We need to determine the statement that why it is a non-example of a polynomial.
Option A: The expression has a variable raised to a negative exponent.
From the expression, we can see that the variables does not have a negative exponent.
Hence, Option A is not the correct answer.
Option B: The expression has a variable in the denominator of a fraction.
From the expression, we can see that there is no variables in the denominator .
Hence, Option B is not the correct answer.
Option C: The expression has a negative coefficient.
The polynomials can contain negative coefficient.
Hence, Option C is not the correct answer.
Option D: The expression has a variable raised to a fraction.
From the expression, it is obvious that the variable z is raised to a fraction.
Hence, this statement shows that the expression [tex]\frac{33}{16} -62y^2xy-35z^{\frac{1}{3}}y^2[/tex] is not a polynomial.
Thus, Option D is the correct answer.
