Consider the following four algebraic expressions in the variable x:
(A)\; 5x3−7x+9
(B)\; 4x−2+3x
(C)\; 6x23−2
(D)\; 2x4+31x2−x+8
Answer the questions that follow.
a. Part 1: (i) For each expression, state whether it is a polynomial in x or not. Give a clear reason for your answer in each case.
b. Part 2: (ii) For every expression that is a polynomial, write its degree.
c. Part 3: (iii) Among the given expressions, identify the one which has the highest degree and write that degree.