Roots of a Polynomial with Complex Coefficients
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The fundamental theorem of algebra states that a polynomial of degree
with complex coefficients has
values
for which
. The
are called the roots of
, with some of them possibly repeated. Thus the polynomial may be factored into linear terms as
, where
is some complex number. In the case of real coefficients, the roots are real or come in conjugate pairs.
Contributed by: Izidor Hafner (February 2016)
Open content licensed under CC BY-NC-SA
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