On a cutting board, cut off the florets. repeat witht he cauliflower. Cut zucchini into thin round slices. Fill a medium saucepan with water and bring to a boil over high heat. Add broccoli, cauliflower and zucchini and cook until tender, about 4 minutes. Drain vegetables an return to saucepan. Add pasta sauce and cook over low heat, stirring occasionally.
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In the meantime, cook fettucine according to directions on packaging. drain pasta when complete and toss with sauce. Transfer to serving bowl and sprinkle Parmesan cheese before serving.