$\begin{align}  & \text{let }f(x)={{x}^{4}}-3{{x}^{3}}+4{{x}^{2}}-6x+7 \\ & \text{The remainder when }f(x)\text{ is divided by }x-1 \\ & \text{will be } \\ & f(1)={{1}^{4}}-3{{(1)}^{3}}+4{{(1)}^{2}}-6(1)+7=3 \\\end{align}$