Creamy Vegetable Soup

Name: Creamy Vegetable Soup
Prep time: 30 min
Cook time: 23 min
Total time: 53 min
Cuisine: American
Ingredients: 5 tablespoons unsalted butter, (separated); 1 tablespoon olive oil; 3 cups mirepoix: (1 cup diced carrots, 1 cup diced celery, 1 cup diced yellow onion); 2 cloves garlic, (minced); 4 cups baby red or baby gold potatoes, (chopped into small bite-sized pieces); 1 and 1/2 teaspoons Italian seasoning; 3 cups chicken stock ((or chicken broth--or vegetable stock for vegetarian)); 2 cups frozen broccoli florets, (thawed and finely chopped); 1 cup frozen corn; 1/4 cup + 2 tablespoons white all-purpose flour; 3 cups milk ((I use 1%; use 1%, 2% or whole)); 1/2 cup heavy cream; 3/4 teaspoon EACH: salt and pepper; 2 cups Freshly grated sharp Cheddar cheese; Optional: fresh parsley or thyme, crusty loaf of bread