Cover all vegetables except broccoli with water and cook until tender.
Add broccoli the last 5 minutes.
Remove from heat and drain, saving the liquid.
Combine chicken broth, water from the vegetables. Add enough chicken broth to cover. Heat to boiling.
Melt 1 1/2 cups butter and add 1 1/2 cups flour. Add to the above liquid.
Stir until thick. Add 1 cup of cheese (or more depending on taste), vegetables, cut up chicken and 1 pkg frozen peas.