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Boil pasta until done and set aside in large mixing bowl.
Heat one tablespoon oil over medium heat, add chicken and cook until golden brown.
Remove chicken from heat and place in large bowl with pasta.
Steam broccoli in bag and add to the big bowl with the pasta and chicken when done.
In same skillet put one tablespoon oil, onion, bell peppers, and garlic and sauté until tender. Add them to bowl with pasta, chicken, and veggies when done.
In same skillet melt butter over medium heat, when butter is melted, add flour and mix well until light brown.
When flour done, slowly pour in half and half and crushed red pepper flakes and whisk until there are no lumps.
Simmer and let sauce thicken.
Add parmesan cheese and heat until it melts.
When sauce is done, mix in big bowl with other ingredients.