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.