The Fundamental Theorem of Algebra
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?
KeywordsRational Function Complex Number Real Root Fundamental Theorem Partial Fraction
Unable to display preview. Download preview PDF.