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# Fundamental theorem of algebra

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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.