Cheesy Vegetable Soup

Name: Cheesy Vegetable Soup
Prep time: 15 min
Cook time: 10 min
Total time: 25 min
Cuisine: World Cuisine
Ingredients: 6 Tablespoons butter (divided); 1 small onion (chopped); 1 cup celery (chopped); 1 cup carrots (chopped); 3 garlic cloves (minced); 3 cups chicken broth; 3 cups potatoes (peeled and cut into one inch cubes); 1 cup broccoli (chopped); 1 cup cauliflower (chopped); 1/4 cup flour; 3 cups half and half; 2 cups shredded cheddar cheese; Salt and pepper to taste