Find, for each of the following three sets
(of the form { a 1 , a 2 , a 3 , a 4 , a 5 , … } {\displaystyle {}\{a_{1},a_{2},a_{3},a_{4},a_{5},\ldots \}} ) a polynomial
(with coefficients c j ∈ Q {\displaystyle {}c_{j}\in \mathbb {Q} } ) such that
holds.