Question

Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 − 62y2xz − 35z1/3y2 (2 points) The expression has a variable raised to a negative exponent. The expression has a variable in the denominator of a fraction. The expression has a negative coefficient. The expression has a variable raised to a fraction.

Answer 1

33 over 16 - 62y2xz - 35z1 / 3y2
 We rewrite the expression:
 (33/16) - 62 * (y ^ 2) * (x) * (z) - 35 * (z) * (1 / 3y ^ 2)
 The expression has a variable in the denominator of a fraction.
 In fact, if we look at the expression it has a variable, specifically y ^ 2 which is in the denominator of a fraction. This causes the expression to stop being a polynomial.
 answer:
 The expression has a variable in the denominator of a fraction.

Answer 2

Answer:  The expression has a variable raised to a fraction.

Step-by-step explanation:  There are 3 rules that determine a polynomial.

1. One or more terms      

2.  Variables with only positive whole numbers as exponents (No variable can be raised to a fraction or a negative number)

3.  No variables in the denominators of any term (They can have fractions, but the fractions can't include a variable like "x, y , or z." in the denominators)      

- Example of non-polynomial with fraction:  4x + 3x^2/3  

-  Example of non-polynomial with negative: 4x^-2

-  Example of non-polynomial with a variable in a term: 4x - 1/2