The Wizards' loss to the Rockets Sunday clinched their 36th straight season with fewer than 50 wins.
After logging a total of 12 seconds in the Wizards’ previous two games, the wing scored 15 points in just 17 minutes against Houston.
The Wizards host the Rockets with a chance to clinch a postseason berth.
The Wizards topped Charlotte in double-overtime Friday and host the potent Rockets Sunday.
Gooden had 15 points and 17 rebounds in a season-high 39 minutes.
The Wizards seek to snap a four-game losing streak against the Hornets.
Beal sprained his left ankle in Wednesday's loss to the Indiana Pacers.
Bynum played 30 games in China this season and is coming off a hamstring injury.
In need of back-court depth, the Wizards will free up a roster spot to sign the veteran guard.
Third-year guard has had a history of leg and foot injuries during his short NBA career.