Question 117806
I'm not sure what the minus sign hanging off the end of answer C is supposed to denote, but be that as it may, all four of the choices are, in fact, polynomials.


A) is a monomial (meaning it is a 1 term polynomial) of degree 0 (meaning the exponent on the variable is zero, and anything to the zero power is 1.  In other words, the constant term 24 could be written as {{{24x^0}}}.


B) is a trinomial (three terms) of degree 3 (the largest exponent on any term is 3)


C) is monomial of degree 1


D) is a binomial of degree 3.  It is degree 3 because the degree is determined by the sum of the exponents in multivariate terms.  {{{3xy^2=3*x^1*y^2}}} and 1 + 2 = 3.  Contrast this with {{{3(xy)^2}}} which would be a multivariate term of degree 4 because {{{3(xy)^2=3x^2y^2}}} 


I would be very curious to learn which of the answers your instructor believes to be correct and why.


Hope this helps,
John