A new Proof of the Fundamental Theorem of Algebra
Pillay, Jyothiniranjan
HAL, hal-00655631 / Harvested from HAL
Text on HAL
Firstly, we introduce a method, which we use to analyse the factors of polynomial functions P(x). We then establish criteria for when the zeros of P(x) with real coefficients are Real. Then finally we go on to analyse P(x) with complex coefficients by using the same method introduced. Upon completion of our analysis we would have established that P(x) with real or complex coefficients, or a mixture of both, has at least one zero i.e at least one factor.
Publié le : 2000-12-29
Classification:  Polynomial Roots of,  12Dxx,  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 
@article{hal-00655631,
     author = {Pillay, Jyothiniranjan},
     title = {A new Proof of the Fundamental Theorem of Algebra},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00655631}
}

Pillay, Jyothiniranjan. A new Proof of the Fundamental Theorem of Algebra. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00655631/