Answer: A, B, D
The polymer is poly(vinyl alcohol). Its monomer, vinyl alcohol, tautomerises at once to ethanal, so the polymer is made by hydrolysing poly(vinyl acetate), which has an all-carbon backbone. Statements A, B and D are therefore correct, while C is wrong because ethane-1,2-diol would give a polyether or polyester chain with oxygen in the backbone, not this C-C backbone.