Answer to Question #20894 in Complex Analysis for ran

Question

Let p(z,w)=α0(z)+α1(z)w+….+αk(z)wk ,where k≥1 and α0,…,αk are non-constant polynomials in the complex variable z. then {(z,w)∈C×C:p(z,w)=0} is
Bounded with empty interior.
Unbounded with empty interior.
bounded with nonempty interior .
bounded with nonempty interior.