Step 1: Quick test:
An addition polymer has a backbone made only of carbon atoms. Polyesters and polyamides contain O or N in the backbone.
Step 2: Apply:
Option (A) has a pure carbon backbone $\text{-CH}_2\text{-CH(CN)-}$. Option (B) has N in the chain, and options (C) and (D) have ester oxygen in the chain. So (A).
Final Answer:
Polyacrylonitrile.
\[ \boxed{\text{(A)}} \]
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