Consider the rational function

f(x)=4x20x2+3x40\displaystyle {f{{\left({x}\right)}}}=\frac{{{4}{x}-{20}}}{{{x}^{{2}}+{3}{x}-{40}}}

Factor the numerator to get  

Factor the denominator to get  

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