A　Lucas　polynomial　sequence　is　a　pair　of　generalized　polynomial　sequences　that　satisfy　the　Lucas　recurrence　relation.　Special　cases　include　Fibonacci　polynomials,　Lucas　polynomials,　and　Balancing　polynomials.　We　define　the　(　a,　b　)　-type　Lucas　polynomial　sequences　and　prove　that　their　Melham＇s　sums　have　some　interesting　divisibility　properties.　Results　in　this　paper　generalize　the　original　Melham＇s　conjectures.