Consider the rational function

f(x)=4x12x2+12x+27\displaystyle {f{{\left({x}\right)}}}=\frac{{-{4}{x}-{12}}}{{{x}^{{2}}+{12}{x}+{27}}}

Factor the numerator to get  

Factor the denominator to get  

The rational function f\displaystyle {f} has a hole at x=\displaystyle {x}=