This is a single institution open label dose-ranging trial. Consecutive, eligible patients presenting with the diagnosis of advanced aerodigestive tract malignancy are to be enrolled in this study. All eligible patients will receive continuous daily oral erlotinib (Tarceva™) with daily bexarotene oral capsules (Targretin®). The two agents will be taken at the same time. Three dose levels of daily bexarotene in combination with daily erlotinib will be studied.