You can
put this solution on YOUR website!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

.
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.

and 1 + 2 = 3. Contrast this with

which would be a multivariate term of degree 4 because
I would be very curious to learn which of the answers your instructor believes to be correct and why.
Hope this helps,
John