Answer
$x=2$ (hole), $x=-7$ (vertical asymptote).
Work Step by Step
1. Factor to get $R(x)=\frac{x^2(x+6)-4(x+6)}{(x+7)(x-2)}
=\frac{(x+6)(x+2)(x-2)}{(x+7)(x-2)}=\frac{(x+6)(x+2)}{x+7}, x\ne2$
2. Thus the function is undefined at $x=2$ (hole) and $x=-7$ (vertical asymptote).
