In this paper we extend the projective properties of representations of a quiver $Q={ullet}{ ightarrow}{ullet}$ as left R-modules to the projective properties of representations of quiver $Q={ullet}{ ightarrow}{ullet}$ as left $R[x]$-modules. We show that if P is a projective left R-module then $0{ ightarrow}P[x]$ is a projective representation of a quiver $Q={ullet}{ ightarrow}{ullet}$ as $R[x]$-modules. And we show $0{ ightarrow}L$ is a projective representation of $Q={ullet}{ ightarrow}{ullet}$ as R-module if and only if $0{ ightarrow}L[x]$ is a projective representation of a quiver $Q={ullet}{ ightarrow}{ullet}$ as $R[x]$-modules. Then we show if P is a projective left R-module then $R[x]longrightarrow^{id}P[x]$ is a projective representation of a quiver $Q={ullet}{ ightarrow}{ullet}$ as $R[x]$-modules. We also show that if $Llongrightarrow^{id}L$ is a projective representation of $Q={ullet}{ ightarrow}{ullet}$ as R-module, then $L[x]longrightarrow^{id}L[x]$ is a projective representation of a quiver $Q={ullet}{ ightarrow}{ullet}$ as $R[x]$-modules.