• Corpus ID: 18054043

WHEN IS A QUARTIC POLYNOMIAL IRREDUCIBLE?

@inproceedings{Brookfield2005WHENIA,
  title={WHEN IS A QUARTIC POLYNOMIAL IRREDUCIBLE?},
  author={Gary Brookfield},
  year={2005}
}
Let F be a field and f ∈ F [x], a polynomial with coefficients in F . If f can be written as a product of two nonconstant polynomials g, h ∈ F [x], then f is said to be reducible. Otherwise, f is irreducible. For example, the polynomial f(x) = 4x + 12x + 13x + 6x + 1 ∈ Q[x] is reducible since it can be written as f(x) = (4x + 4x + 1)(x + 2x + 1), a product of two polynomials in Q[x]. As we will see below, the polynomial f(x) = x +x +x +x+1 ∈ Q[x] cannot be written as a product of two… 

References

SHOWING 1-4 OF 4 REFERENCES
Can this Polynomial be Factored
Harold L. Dorwart has taught at Williams College, Washington and Jefferson College, and Trinity College (where he was Seabury professor of mathematics and department chairman (,&UP It 1949-67, dean
E-mail address: gbrookf@calstatela
  • E-mail address: gbrookf@calstatela
Can This Polynomial Be Factored?, Two-Year College Math
  • J
  • 1977