First check the handles
$\left ( id+id*id \right ),id$
$\left ( F+id*id \right ),F$
$\left ( T+id*id \right ),T$
$\left ( E+id*id \right ),id$
$\left ( E+F*id \right ),F$
$\left ( E+T*id \right ),id$
$\left ( E+T*F \right ),T*F$
$\left ( E+T \right ),E+T$
$\left ( E \right ), \left ( E \right )$
$F,F$
$T,T$
$E$
So, handles are $\left (id,F,T,T*F,E+T,\left ( E \right ) \right )$
Now, check viable prefix
$.\left ( id+id*id \right )$
$\left (. id+id*id \right )$
$\left ( id.+id*id \right )$
$\left ( F.+id*id \right )$
$\left ( T.+id*id \right )$
$\left ( E.+id*id \right )$
$\left ( E+.id*id \right )$
$\left ( E+id.*id \right )$
$\left ( E+F.*id \right )$
$\left ( E+T.*id \right )$
$\left ( E+T*.id \right )$
$\left ( E+T*id. \right )$
$\left ( E+T*F. \right )$
$\left ( E+T. \right )$
$\left ( E. \right )$
$\left ( E \right ).$
$F.$
$T.$
$E$
Viable Prefix are $(, (id,(F,(T,(E,(E+,(E+id,$$(E+F,(E+T,(E+T*,(E+T*id,(E+T*F,(E+T,(E,(E),F,T,E$