Question

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

33 over 16xy − 62y−2xz − 35z2y2
(This are the exponent: -2, 2, 2)

A)The expression has a variable raised to a negative exponent.
B)The expression has a negative coefficient.
C)The expression has a variable raised to a fraction.
D)The expression has a variable in the denominator of a fraction.
I think the answer is A because an exponent cannot be a negative. However, I'm not sure if I'm correct. Can someone please help me?

Answer 1

Option A- The expression has a variable raised to a negative exponent.

Explanation:

Given : Expression -
`(33)/(16xy-62y-2xz-35z^2y^2)`

Yes Option A is correct i.e, The expression has a variable raised to a negative exponent.

Because the expression is written as

`33 * (16xy-62y-2xz-35z^2y^2)^(-1)`

→ Since the function which has variable in the denominator is not a polynomial because all exponent in a polynomial must be positive and when denominator goes to numerator the power became -1 which is negative.

Therefore, Option A is correct.

Answer 2

I agree with you on this problem. It is A. If that is the final answer, the negative exponent must be flipped in order to be positive. According to the equation, it is not positive so it is not a simpflied polynomial.