Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function.
A)The given function is a polynomial function with degree 12
B)The given function is a polynomial function with degree 2
C)The given function is a polynomial function with degree 6
D)The given function is a rational function with degree 6
E)The given function is a rational function

Question

Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function. 
A)The given function is a polynomial function with degree 12 
B)The given function is a polynomial function with degree 2 
C)The given function is a polynomial function with degree 6 
D)The given function is a rational function with degree 6 
E)The given function is a rational function

Quizplus · Accepted Answer

The function is not a rational function since it is not in the form of a quotient of two polynomials. The term "polynomial function" implies that the function is a polynomial, and since the given function can be expanded as a polynomial with degree 6 (by multiplying out the binomials), the correct answer is C.

Determine Whether the Given Function Is a Polynomial Function or Rational