Preheat oven to 425° Fahrenheit and line 1 large or 2 medium baking pans with parchment paper.
Cut up all of the vegetables and sausage and place in a large bowl.
Add olive oil and balsamic vinegar. Toss until coated. Add basil, salt and pepper, toss again. Spread vegetables and sausage out in an even layer on baking sheet(s).
Place in oven and roast for about 20 minutes, stirring once. You want the vegetables to be brown on the outside edges and tender on the inside. Serve and enjoy.