Which statement best demonstrates why the following is a non-example of a polynomial?
33/16 - 62y^2xz-35z^1/3y^2
a. The expression has a variable raised to a negative exponent.
b. The expression has a variable in the denominator of a fraction. **
c. The expression has a negative coefficient.
d. The expression has a variable raised to a fraction
which one is it
I don't know how to solve this one. Can someone please help me?
The correct answer is b. The expression has a variable in the denominator of a fraction.
In a polynomial, variables cannot be in the denominator of a fraction. Polynomials consist of terms that are added or subtracted, and each term can have variables raised to non-negative integer exponents. In the given expression, the variable y is in the denominator of the fraction, making it a non-example of a polynomial.
To determine why the given expression is a non-example of a polynomial, let's first understand what a polynomial is.
A polynomial is an algebraic expression consisting of variables, coefficients, and exponents. The exponents must be non-negative integers, and the variables should not be in the denominator of fractions.
Looking at the given expression, we can see that it contains a variable, "y," in the denominator of a fraction. This violates one of the essential characteristics of a polynomial.
Therefore, the correct answer would be option b: "The expression has a variable in the denominator of a fraction." This demonstrates why the expression is a non-example of a polynomial.