# solvable by radicals

Let $F$ be a field and $f(x)\in F[x]$. Then $f(x)$ is *solvable by radicals* if there exists a radical extension $K/F$ such that $f(x)$ factors into linears when considered as an element of $K[x]$.

Title | solvable by radicals |
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Canonical name | SolvableByRadicals |

Date of creation | 2013-03-22 16:55:39 |

Last modified on | 2013-03-22 16:55:39 |

Owner | Wkbj79 (1863) |

Last modified by | Wkbj79 (1863) |

Numerical id | 5 |

Author | Wkbj79 (1863) |

Entry type | Definition |

Classification | msc 12F10 |

Synonym | solvability by radicals |

Synonym | solvable polynomial |

Related topic | Radical5 |

Related topic | RadicalExtension |