ASolution
Given
[tex]\frac{(x-1)(x+5)}{x-5}[/tex]When the rational expression is zero , we have
[tex]\begin{gathered} \frac{(x-1)(x+5)}{x-5}=0 \\ \\ (x-1)(x+5)=0\times(x-5) \\ (x-1)(x+5)=0 \\ x-1=0\text{ }or\text{ }x+5=0 \\ x=1\text{ or }x=-5 \end{gathered}[/tex]The correct choices are E and F