Boil all veggies but broccoli in 2 cups of water for 10 minutes.
Add the broccoli and boil for 10 more minutes. DO NOT DRAIN.
In a saucepan, melt margarine. Stir in flour. Add milk and cook, stirring constantly, until thick. Add cheese and other ingredients. Mix until smooth. Add to undrained veggies and heat together but do not boil.