Mashed Potato Cakes with Broccoli and Cheese

Name: Mashed Potato Cakes with Broccoli and Cheese
Ingredients: 2 pounds Yukon gold potatoes; Kosher salt; 3 tablespoons unsalted butter; 1/2 cup whole milk; 2 tablespoons crème fraîche or sour cream; Freshly ground black pepper; 3 tablespoons olive oil, plus more for frying; 1 1/2 cups broccoli florets; 1 fat clove garlic, crushed; 1/2 cup grated sharp cheddar cheese; 2 large eggs, beaten; 2 1/2 cups panko crumbs; Poached eggs for serving (optional)