代数基本定理说的是:次数不小于1的多项式 P(Z)=a_0Z~n+a_1Z~(n-1)+…+a_(n-1)Z+a_n (a_0≠0) 至少有一个复数根。关于此定理的证明,早在1799年高斯在他的博士论文中已给出。将近二百年来人们对这个定理给出了许多不同证明。从所见到的证明 The fundamental theorem of algebra says: polynomials of degree not less than 1 P(Z)=a_0Z~n+a_1Z~(n-1)+...+a_(n-1)Z+a_n (a_0≠0) At least one complex number root. The proof of this theorem was given as early as 1799 by Gauss in his doctoral dissertation. For nearly two hundred years people have given many different proofs of this theorem. Proof from what you see