The first dot point essentially wants a proof of the integer root theorem.
proof: From what i can remember...
Let P(x)= Ax^2+Bx+C, where A,B,C are integers
P(a)=0, where a is an integer root.
i.e. A(a)^2+B(a)+C=0
therefore, -C/a=A(a)+B
-C/a=S, where S is an integer, since A,a...