Tell whether the expression is a polynomial If it is give it

Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.

StartFraction z squared plus 8 Over z cubed minus 6 EndFraction

Therefore, is the given expression a polynomial?

A.

The given expression is not a polynomial, because there is only one monomial term.

B.

The given expression is a polynomial.

C.

The given expression is not a polynomial, because the polynomial in the denominator has degree greater than 0.

What is the degree of

StartFraction z squared plus 8 Over z cubed minus 6 EndFraction

?

Select the correct choice below and fill in the answer box within your choice if necessary.

A.

nothing

B.

The expression is not a polynomial.

Solution

( z^2 + 8 ) / ( z^3 - 6 )

the given function is not a polynomial since the degree of denominator is greater than 0

a polynomial is a function that can have only positive and whole number exponents , the denomiantor cannot have a variable with exponent greater than 0

therefore, its not a polynomial