Let　Q　be　a　quiver　of　type　An.　Let　α　=　α1　+　α2　+　⋯　+　αs　be　the　canonical　decomposition.　For　the　polynomials　MQ(α,　q)　that　count　the　number　of　isoclasses　of　representations　of　Q　over　Fq　with　dimension　vector　α,　we　obtain　a　precise　relation　between　the　degree　of　MQ(α,　q)　and　that　of　Πsi=1　MQ(αi,　q)　for　an　arbitrary　dimension　vector　α.　©　The　Author(s),　2022.　Published　by　Cambridge　University　Press　on　behalf　of　Australian　Mathematical　Publishing　Association　Inc.