Keyword | CPC | PCC | Volume | Score | Length of keyword |
---|---|---|---|---|---|

multiplicity definition math | 1.1 | 0.3 | 2126 | 55 | 28 |

multiplicity | 0.25 | 0.9 | 5745 | 31 | 12 |

definition | 1.3 | 0.2 | 9252 | 58 | 10 |

math | 0.42 | 0.5 | 7004 | 55 | 4 |

Keyword | CPC | PCC | Volume | Score |
---|---|---|---|---|

multiplicity definition math | 0.47 | 0.3 | 8244 | 94 |

multiplicity definition math algebra 2 | 1.49 | 0.2 | 1545 | 60 |

multiplicity definition mathematics | 0.77 | 0.2 | 976 | 72 |

definition of multiplicity math | 0.02 | 0.4 | 237 | 1 |

A zero has a multiplicity, which refers to the number of times that its associated factor appears in the polynomial. For instance, the quadratic (x + 3)(x 2) has the zeroes x = 3 and x = 2, each occuring once.

This means that 1 is a root of multiplicity 2, and −4 is a 'simple' root (of multiplicity 1). The multiplicity of a root is the number of occurrences of this root in the complete factorization of the polynomial, by mean of the fundamental theorem of algebra.

In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset. For example, the number of times a given polynomial equation has a root at a given point is the multiplicity of that root.