Find the loplace transform

$F(x)=12x3x^{2}4x^{3}5u(x-4)$

$*F(s)=\frac{1}{5}\frac{2}{s^2}\frac{6}{s^3}\frac{24}{s^4}\frac{5e^{-4s}}{5}$

$*F(s)=\frac{1}{5}\frac{2}{s^2}\frac{6}{s^3}\frac{24}{s^4}5e^{-4s}$

$*F(s)=\frac{1}{5}\frac{2}{s^2}\frac{3}{s^3}\frac{4}{s^4}\frac{5e^{-4s}}{5}$

$*F(s)=52s^{2}6s^{3}24s^{4}5s^{45}$