1In a 3-quart saucepan, heat the broccoli, carrot, salt, pepper and chicken broth to boiling over high heat. Reduce heat to low; cover and cook 6 to 8 minutes or until broccoli is tender.
2In small bowl, mix flour and water with wire whisk until the flour is dissolved. Slowly add flour mixture to broccoli, stirring constantly. Heat to boiling over high heat; continue boiling about 1 minute, stirring constantly, until mixture is slightly thickened.
3Stir in half-and-half. Cook over medium heat, stirring occasionally, until hot. Do not boil. Serve immediately.