Fundamental Theorem of Algebra
Every polynomial with and factors as with , so has roots counted with multiplicity.
Theorem 1.1 (Fundamental Theorem of Algebra)
A polynomial of degree with coefficients in can be written as a product of linear factors:
Hence has at least one root in , and roots connected with multiplicity.
Stated in
- Theorem 1.1 (Fundamental Theorem of Algebra)§1.2 Properties