Fundamental theorem of algebra
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.