Pappardelle With Beef And Mushroom Ragu

Name: Pappardelle With Beef And Mushroom Ragu
Ingredients: 2 tablespoons olive oil; 1 pound beef chuck, cut into 1-inch pieces; kosher salt and black pepper; 1 large onion, chopped; 2 carrots, chopped; 4 garlic cloves, smashed; 1 teaspoon chopped fresh rosemary; 1 tablespoon tomato paste; 2 cups low-sodium chicken broth; 1 15-ounce can crushed tomatoes; 1 pound assorted mushrooms (such as button, cremini, and shiitake), sliced; 12 ounces pappardelle or fettuccine; 1/2 cup grated Parmesan (2 ounces), plus more for serving