Question

Which statement best demonstrates why the following is a non-example of a polynomial?

33 y squared all over x squared − 62y2xz − 35z2y2

The expression has a variable raised to a negative exponent.
The expression has a negative coefficient.
The expression has a variable raised to a fraction.
The expression has a variable in the denominator of a fraction.

Answer 1

The answer to the question is D.
"the expression has a variable in the denominator of a fraction"

Answer 2

(D)

Explanation:

The given expression can be written as:

`(33y^2)/(x^2-62y^2xz-35z^2y^2)`

From this, it can be seen that the denominator of the given fraction consists of variables x and y and z which cannot be removed by simplifying the fraction due to which the given fraction cannot act as a polynomial as polynomial do not contain variables in the denominator if the fraction.

Thus, option D is correct that is The expression has a variable in the denominator of a fraction.