3x+8 divisible by x-1
=> 3x-3+11 divisible by x-1
Because 3x-3 divisible by x-1
=> 11 divisible by x-1
=> x-1 =-1;-11;1;11
=> x=0;-10;2;12
Thus x=0;-10;2;12.
\(3x+8⋮x-1\Rightarrow3\left(x-1\right)+11⋮x-1\)
\(\Rightarrow11⋮x-1\Rightarrow x-1\inƯ\left(11\right)=\left\{\pm1;\pm11\right\}\)
\(\Rightarrow x\in\left\{2;0;12;-10\right\}\)
Vậy....................