A Concrete Introduction to Higher Algebra pp 253-276 | Cite as

# The Fundamental Theorem of Algebra

Chapter

## Abstract

We have seen that if *F* is a field, every nonconstant polynomial in *F*[*x*] factors uniquely (up to the order of the factors) into the product of irreducible polynomials. Irreducible polynomials relate to all polynomials in the same way that primes do to all natural numbers. Thus one naturally asks: Which polynomials are irreducible? and How does one factor a given polynomial into a product of irreducible polynomials?

## Keywords

Rational Function Complex Number Real Root Fundamental Theorem Partial Fraction
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Preview

Unable to display preview. Download preview PDF.

## Copyright information

© Springer Science+Business Media New York 1995