Find the Laplace Transform of the Solution X(t) of the Following

Multiple Choice

Find the Laplace transform of the solution x(t) of the following initial value problem:

A) $\frac{4 s^{6}+27 s^{5}+8 \cdot 4 !}{s^{5}\left(s^{2}+7 s+3\right) }$
B) $\frac{27 s^{5}-4 s^{6}+8 \cdot 4 !}{s^{5}\left(s^{2}+7 s+3\right) }$
C) $\frac{27 s^{5}-4 s^{6}+8 \cdot 4 !}{s^{4}\left(s^{2}+7 s+3\right) }$
D) $\frac{4 s^{6}-27 s^{5}+8 \cdot 4 !}{s^{4}\left(s^{2}+7 s+3\right) }$