Prepare the vegetables. Peel and grate the carrots and finely chop the broccoli florets. Dice the onion and grate the cheese.
In a deep large pot, warm up 1 tablespoon of olive oil then add the onions and sauté for 5 minutes.
Add 2 tablespoons of flour and stir for 2 minutes then deglaze with ½ a cup of vegetable broth.
Season with a teaspoon of oregano, ground black pepper then add the carrots and the broccoli.
Add the remaining vegetable broth and bring it to a boil then let it simmer for 10 minutes.
Add 1 cup of heavy cream followed by the grated cheddar cheese. Stir everything together until the cheese melts.
Do a taste test and add some salt if needed then your broccoli soup is ready to be enjoyed