Before you worry too much about the jamb, make sure the door hasn't been damaged as well. Sure, the jamb is the first to let loose, but it usually bends (metal doors ) or breaks (wood doors ) across the area of the bolt.

Sometimes a damaged door can be repaired with a reinforcing plate that slips over the edge of the door, other times you have to replace the door. If you have to replace the door, then it will be easier to replace everything with a new prehung door than to try to repair the damage.