$9\mathrm{.}27.$ We are given the following five facts about a real signal $x(t)$ with Laplace transform $x(s)$ :

$x(s)$ has exactly two poles.

$x($s$)$ has no zeros in the finite s$-$plane.

$x(s)$ has a pole at $s=-1+j.$

$e^{2t}x(t)$ is not absolutely integrable.

$x(0)=8.$

Determine $x(s)$ and specify its region of convergence.