Preheat oven to 425 degrees.
Place broccoli, cauliflower and carrots on a large sheet pan. Drizzle with olive oil and season with salt, pepper & garlic powder. Toss well and spread into an even layer. Roast 15-20 minutes until tender.
4 cups broccoli florets, 4 cups cauliflower florets, 2 tbsp. olive oil, 1 tsp. salt, 1/2 tsp. black pepper, 1/2 tsp. garlic powder, 1 cup carrots
In a dutch oven or large pot, melt butter over medium-high heat. Add onion and sauté 4-5 minutes until translucent. Add garlic and cook for 1 minute.
4 tbsp. butter, 1/2 cup white onion, 1 clove minced garlic
Stir in flour & dry mustard and cook for another minute. Add in chicken broth and bring to a simmer.
1/4 cup flour, 1/2 tsp. dry ground mustard, 3 cups chicken broth
Add roasted vegetables and bring to a simmer for 2 minutes. Slowly stir in cheddar cheese. Stir until cheese is completely melted.
8 oz. sharp cheddar cheese
Turn heat to low and pour in half & half. Heat through for another few minutes, but do not boil. Season with extra salt and pepper, if needed.
2 cups half & half