Kosher salt and freshly ground black pepper, to taste
2 cups (8 oz.) shredded cheddar cheese
Set a large pot of salted water to boil. Add pasta and cook according to package directions. Add broccoli to boiling water with pasta during last 3-4 minutes. Drain and set aside in a colander.
In the same large pot set over medium heat, melt butter. Stir in flour. Cook mixture, stirring constantly, for 1 minute. Whisk in milk, then season with onion powder, garlic powder, salt and pepper. Increase heat to medium-high and cook mixture, stirring constantly until it boils and thickens. Remove from heat and stir in cheese until melted. Add pasta, broccoli and ham, tossing to evenly coat.
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