Part A: Operations on Polynomials

A polynomial is represented using a list of reals. Write functions to do the following operations on polynomials.

• polyadd(P,Q) produces the polynomial sum P+Q.
• scalarmult(P,s) multiplies P by scalar s.
• polydiff(P,Q) produces P-Q.
• evalpoly(P,x) evaluates the polynomial at a given value x.

A set is represented using a list. The members in a set can be in any order, and there is only one occurence of the same element on the list. Write functions to do the following operations on sets.

• member(e,S) returns TRUE if e is a member of set S.
• insert(e,S) adds e in the S if it is not already there.
• delete(e,S) deletes e from S.
• intersection(S1,S2) gives intersection of sets S1 and S2.
• union(S1,S2) gives union of sets S1 and S2.
• difference(S1,S2) gives the difference of the sets S1 and S2.
• uncommonpart(S1,S2) gives the elements which are in S1 or S2 but not in both.