how to prove : a complex polynomial of degree n has n roots ?

Question

turingtest · Answer

correction:
the sum of the multiplicities of the roots of a polynomial for degree n is n
this is the fundamental theorem of algebra
how to prove the fundamental theorem of algebra? good questions

...oh I just realized you said 'complex polynomial', so what I said above may not apply

turingtest · Answer

@James @Zarkon how to prove : a complex polynomial of degree n has n roots ?

anonymous · Answer

FTA : for all complex polynomials f(z) with deg (f(z)) greater or equal to 1, there exist a zo so that f(zo)=0.
how do i go from here to sum of multiplicities ?

anonymous · Answer

thanks i find how to do it from your hint !!!!

turingtest · Answer

sweet, I wasn't even sure my hint applied here, but I guess it does :)
welcome!