$[30$ pts$.]$ a$)$ For a system with impulse response

$H(s)=\frac{5s^2+4s+4}{s(s^2+2s+2)}$ROC:

i$.$ Find the poles and zeros

ii$.$ Determine if it is causal, anti$-$causal or non$-$causal system?

iii. Draw its inverse Laplace transformation $h(t)$

i$.$ Poles $0,-1+-j,$ Zeros, $-0\mathrm{.}4+-j0\mathrm{.}8$

ii$.$ Non$-$causal

iii. PFE

CAN YOU EXPLAIN THE ALL DETAILS AND CALCULATIONS