Mix together the oil, vinegar, basil, oregano, salt and pepper. Set aside.
Bring a large pot of salted water to boil; add rotini and bring to a boil again. Cook until rotini is al dente; drain well. Return the rotini to the pot.
While rotini is cooking heat oil in a frying pan and saute red bell pepper, green bell pepper, garlic and carrots. Cook until vegetables are softened. Place the broccoli in the frying pan and cook another 2 minutes.
Pour the cooked vegetables into the pot with the pasta. Pour the vinaigrette over the pasta and vegetables. Toss to distribute vegetables and vinaigrette evenly.