- Preheat the oven to 425° and line a baking sheet with parchment. 
- In a large bowl, toss the broccoli with the olive oil and season with salt and pepper. Roast for 25-30 minutes, or until very tender. Remove from the oven and set aside. 
- While the broccoli is roasting, put the chopped bacon into a large pot on medium heat.  Cook it till crispy-chewy, stirring often. When it's cooked, remove the bacon with a slotted spoon, to a paper towel lined plate. Reduce the heat to low. 
- Using a large spoon, remove most of the bacon grease from the pot to a can. Leave about 2 Tbsp of the bacon fat in the pot to cook the onions and garlic in. 
- Add the onions and garlic to the pot, and cook until tender - about 2-3 minutes. 
- Add the cubed potatoes, the chicken broth, and a little salt (if needed). Bring it to a boil, then reduce heat to medium-low and cook the potatoes until tender. 
- Add the roasted broccoli to the pot. Roughly purée the soup with an immersion or regular blender, leaving some small chunks for texture. 
- Stir in the cream, then salt and pepper to taste. 
- If the soup is too thick for your liking, thin it out further with a little more cream or more chicken broth. 
- Serve with grated cheddar, the reserved bacon, and a dollop of sour cream!