# content of a polynomial

Let $P={a}_{0}+{a}_{1}x+\mathrm{\dots}+{a}_{n}{x}^{n}\in \mathbb{Z}[x]$ be a polynomial with integer coefficients. The content of $P$ is the greatest common divisor^{} of the coefficients of $P$.

$$c(P)=\mathrm{gcd}({a}_{0},{a}_{1},\mathrm{\dots},{a}_{n})$$ |

Title | content of a polynomial |
---|---|

Canonical name | ContentOfAPolynomial |

Date of creation | 2013-03-22 13:33:42 |

Last modified on | 2013-03-22 13:33:42 |

Owner | Daume (40) |

Last modified by | Daume (40) |

Numerical id | 4 |

Author | Daume (40) |

Entry type | Definition |

Classification | msc 11C08 |

Related topic | ProductOfFinitelyGeneratedIdeals |