Thus, to deﬁne a concrete polynomial it is suﬃcient to specify its coeﬃcients a0, a1, a2 . . . , an. Thus, the polynomial is equivalent to the (n+1)-dimensional vector
(a0, a1, a2 . . . , an).
A complex polynomial is diﬀerent from a real polynomial in that the coeﬃcients a0, a1, a2 . . . , an, as well as the variable x, can be not only real but also complex. This makes the polynomial a complex function p : C → C.