Step 1: Understanding the Concept
Homopolymers have one kind of repeating unit. Copolymers are made from two or more monomers.
Step 2: Detailed Explanation
Polyacrylonitrile is made from acrylonitrile alone, so it is a homopolymer.
Buna-N is made from butadiene and acrylonitrile, so it is a copolymer.
Urea-formaldehyde resin is made from urea and formaldehyde, and polycarbonate is made from bisphenol-A and a carbonate source, so both come from two monomers.
Final Answer:
Polyacrylonitrile is the homopolymer, option (A).
\[ \boxed{\text{Polyacrylonitrile (A)}} \]