Existence of Zeros
The fundamental theorem of algebra says that every nonconstant polynomial with complex coefficients has at least one zero in the complex plane. This is in contrast to the situation with real zeros: some polynomial functions with real coefficients have no real zeros. An example is f(x) = x2 + 1.
Read more about this topic: Zero (complex Analysis)
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“The longer we live the more we must endure the elementary existence of men and women; and every brave heart must treat society as a child, and never allow it to dictate.”
—Ralph Waldo Emerson (1803–1882)