for each, list three elements and then show it is a vector space.

(a) the set of linear polynomials p1 = {a0 + a1x | a0, a1 ∈ r} under the usual polynomial addition and scalar multiplication operations.

(b) the set of linear polynomials {a0 + a1x | a0 − 2a1 = 0}, under the usual polynomial addition and scalar multiplication operations.