Fundamental theorems of algebra

Fundamental theorems of algebra:

For every polynomial there is an equation of

the form $a_0 x^n + a_1 x^{n-1} + a_2 x^{n - 2} + \cdots + a_{n - 1 } x + a_n = 0$

where $a_0 + a_1 + a_2 + \cdots$ are complex numbers,

has at least one complex root.

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