Hankerson tore the labrum in his right hip, and Golston injured two knee ligaments during Sunday's 20-9 loss to the Miami Dolphins.
Hankerson, a third-round draft pick this year, was hurt during his first 100-yard receiving game in the pros, and Golston, a six-year veteran, had played in all nine games this season and was a regular part of the defensive line rotation.
Stallworth and Scott both were cut by the Redskins as part of a flurry of roster moves last week. Stallworth has five catches this season, but Scott hasn't played.
The Redskins also waived safety Kareem Moore, who was on the physically unable to perform list with a knee injury and hasn't played this season.
The Associated Press contributed to this report.