Respuesta :

Given data:

The firts expression given is 4x+2/3.

The second expression given is x-1.

[tex]\begin{gathered} (4x+\frac{2}{3})\times\frac{1}{x-1}=\frac{12x+2}{3(x-1)} \\ =\frac{12x-12+14}{3(x-1)} \\ =\frac{12(x-1)+14}{3(x-1)} \\ =4+\frac{14}{3(x-1)} \end{gathered}[/tex]

Thus, when the given term is divided we get 14/3 as remainder.