The Los Angeles Lakers had their worst season in franchise history last year. After losing 61 games, they have quite a bit of work to do.

Although most of the elite free agents have already been signed, such as LaMarcus Aldridge and Marc Gasol, the Lakers still have plenty of options in free agency. Here are five players the Lakers should consider singing.

1. Jason Terry

Jason "The Jet" Terry is a free agent after spending last season with the Houston Rockets. Terry is obviously past the prime of his career, but he's a proven veteran who can help the younger players develop. He's an excellent free throw shooter, having made more than 81 percent of his shots from the line last season. Terry isn't an elite defender, and he won't create huge scoring opportunities with the ball, but he's still a reliable spot up perimeter shooter. Signing Terry wouldn't cost the Lakers much at all.

2. Glen Davis

The Lakers have struck out recently with front court players. Dwight Howard left and the Carlos Boozer experiment didn't work out very well. The Lakers have also been rumored to be interested in free agent Kevin Séraphin. But, Glen "Big Baby" David is still a free agent. Davis is still just 29 years old, and he's very underrated player. He helped the Boston Celtics win an NBA Championship in 2008, and averaged 6.7 rebounds per 36 minutes with the Los Angeles Clippers last season. Davis is a difference maker who can come off the bench and provide great rest for the starters at low cost. He may be a power forward, but Davis is a 70 percent free throw shooter.

3. J.R. Smith

Wouldn't this be something? J. R. Smith bet on himself this offseason, but it's pretty obvious at this point he lost big time. Smith could have exercised his player option for a guaranteed $6 million, but opted out. He is extremely inconsistent and has been known to drive fan bases crazy at times with his erratic shooting. However, when he's on point, Smith can be deadly from deep. After being traded from the New York Knicks, Smith played a huge role in the Cleveland Cavaliers making it to the NBA Finals. He's a risk given his inconsistent shooting, but low cost and young age does make him an enticing option.

4. Norris Cole

This is kind of a tricky situation. Norris Cole is presently a restricted free agent, as is Tristan Thompson. If the Lakers want Cole they'll have to match the $3 million offer sheet for next season with the New Orleans Pelicans. Cole could be a great addition for the Lakers because he's a young skilled player. He's not an elite point guard, but Jeremy Lin is no longer on the roster, and Cole could learn a thing or two from future hall of famer Kobe Bryant. Still just 26 years old, Cole has already won two NBA Championships, and he doesn't turn the ball over frequently.

5. Michael Beasley

Older veterans like Ray Allen and Tayshaun Prince are free agents, but if the Lakers want to take a chance on a young player, Michael Beasley could be their guy. There's no doubt about it, this is a very high risk decision because Beasley has so many off the court issues. If the Lakers did strike a deal with Beasley, it would have to be for league minimum. Still, despite his problems off the court, Beasley is just 26 years old, and he's a talented rebounder. The former No. 2 overall draft pick is a career 45 percent shooter from the field.