Fundamental Theorem of Algebra
There are a couple of ways to state the Fundamental Theorem of Algebra. One way is:
has at least one
in the set of
A different version states:
polynomial function with complex coefficients has exactly
zeros in the set of complex numbers, counting
of the complex numbers, since every real number can be written in
. So, the theorem is also true for polynomials with real coefficients.
In this case, the coefficients are all real numbers:
and factor over the complex numbers to find the zeros.