In a large saucepan, melt the butter. Stir in the flour and onions. Cook for about a minute,
Slowly add the half-and-half, about 1/4 cup at a time, whisking until thickened and smooth.
When all of the half-and-half is incorporated, add the broccoli and processed cheese.
When the cheese is completely melted, add the chicken broth 1 cup at a time, stirring occasionally, until soup is well mixed and has a consistent texture.
Add the carrots and simmer for about 10 minutes.
Stir in the cheddar cheese and cook for 10 minutes more.
Season with salt and pepper to taste.
Serve when all the cheese is fully melted and blended through.
Video
Recipe Tips
Pro Recipe Tips
Cheese Selection: Use freshly grated cheese (pre-shredded has anti-caking agents)
Roux Perfection: Cook flour and butter until light golden for best flavor
Temperature Control: Add cheese off heat to prevent curdling