$8\mathrm{.}5$ Consider a system with transfer function

g$^($s$)=($s$1)($s$+2)($s$+1)($s$2)($s$+3)\backslash$hat$\{$g$\}($s$)=\backslash$frac$\{($s$-1)($s$+2)\}\{($s$+1)($s$-2)($s$+3)\}$g$^($s$)=($s$+1)($s$2)($s$+3)($s$1)($s$+2)$

Is it possible to change the transfer function to

gf$($s$)=$s$1($s$+2)($s$+3)$g$\_$f$($s$)=\backslash$frac$\{$s$-1\}\{($s$+2)($s$+3)\}$gf$($s$)=($s$+2)($s$+3)$s$1$

by state feedback? Is the resulting system BIBO stable? Asymptotically stable?