This site is supported by donations to The OEIS Foundation.
Fundamental theorem of algebra
From OeisWiki
This article is under construction.
Please do not rely on any information it contains.
This article page is a stub, please help by expanding it.
The fundamental theorem of algebra figures in many results concerning irrational and transcendental numbers.
Theorem. A polynomial with complex coefficients has as many roots as its degree indicates.
Proof. PROOF GOES HERE. MAYBE THE ONE GIVEN IN NIVEN (1961), USED AS A PRELIMINARY FOR CANTOR'S PROOF THAT TRANSCENDENTAL NUMBERS EXIST. ENDOFPROOFMARK
For example, the equation has three roots, one real, , the other two complex, .
See also fundamental theorem of arithmetic.