A teacher asks the class to create polynomials that satisfy certain conditions. Answer the following.
a. (i) Construct a binomial of degree 5 whose constant term is −4.
b. (ii) Construct a trinomial of degree 4 in which the coefficient of x4 is 3 and the coefficient of x is zero.
c. (iii) For each polynomial obtained in parts (i) and (ii), state its degree and whether it is a monomial, binomial, or trinomial. Briefly explain how you arrived at each classification, especially noting the role of any zero coefficients.