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Starwatcher16
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Does the Fundamental Theorum of Algebra prove that imaginery numbers have to exist for our number system to be complete?
Starwatcher16 said:Does the Fundamental Theorum of Algebra prove that imaginery numbers have to exist for our number system to be complete?
The Fundamental Theorem of Algebra states that every non-zero, single-variable, degree n polynomial with complex coefficients has exactly n complex roots, counting multiplicity.
The Fundamental Theorem of Algebra is important because it is a fundamental result in algebra and has many applications in mathematics, science, and engineering. It also helps to explain the behavior of polynomial functions and their roots.
The Fundamental Theorem of Algebra was first stated by mathematician Carl Friedrich Gauss in 1799. However, the first rigorous proof was given by mathematician Augustin-Louis Cauchy in 1821.
Yes, the Fundamental Theorem of Algebra is always true. It has been proven and has withstood the test of time.
The word "fundamental" in the Fundamental Theorem of Algebra refers to the fact that it is a basic, essential, and important result in algebra. It serves as the foundation for many other theorems and concepts in mathematics.