Remove the corned beef from the packaging and rinse well.
Place the meat in the bottom of a large dutch oven, then sprinkle with the contents of the spice packet and add 2 bay leaves and 1/2 teaspoon black peppercorns.
3-4 pounds corned beef with spice packet, 2 bay leaves, 1/2 teaspoon black peppercorns
Add enough beef broth or water to cover the meat completely.
5-6 cups beef broth
Place on the stove and bring to a boil, then cover and reduce the heat to a simmer. Let the meat cook in the simmering liquid for about 2 1/2 hours.
Add the carrots and potatoes, making sure to move the meat if necessary so the vegetables can cook in the liquid. If needed, add an additional 2 cups of hot water to the cooking liquid. Continue to cook for 30 minutes until the potatoes and carrots are tender.
1 1/2 pounds carrots, 2 pounds small red potatoes
Add the cabbage wedges, pushing them down into the cooking liquid, and cook for 15 minutes longer.
1 large head green cabbage
Remove the meat, potatoes, and vegetables from the pot. Slice the meat into thin slices against the grain, then serve on a large platter surrounded by the boiled potatoes, carrots and cabbage.