Answer the following questions concerning basic terminology of polynomials.
(i) Define a polynomial in one variable.
(ii) Define the degree of a polynomial.
(iii) State what is meant by (a) a monomial, (b) a binomial, and (c) a trinomial.
(iv) Give one example of each of the following: (a) a monomial of degree 4, (b) a binomial of degree 2, and (c) a trinomial of degree 3. Also state the degree of each expression you have given.