Pat the beef chuck roast dry and season it evenly with salt and black pepper on all sides.
Heat the olive oil in a large skillet over medium-high heat. Add the roast and brown it for 3 to 4 minutes per side until a crust forms.
Place the carrot chunks, potato quarters, and sliced onion in the bottom of the slow cooker. Scatter the minced garlic over the vegetables.
Set the browned roast on top of the vegetables in the slow cooker.
Stir together the beef broth, Worcestershire sauce, dried thyme, and dried rosemary. Pour this mixture over the roast and vegetables.
Cover the slow cooker and cook on low for 8 hours until the beef pulls apart easily with a fork and the vegetables are soft.