# 12.3: Division of Polynomials

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**Basic**Created by: CK-12
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Color | Highlighted Text | Notes | |
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Term | Definition |
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Adding Fraction Property |
For all real numbers , and , and , = . |

Denominator |
The denominator of a fraction (rational number) is the number on the bottom and indicates the total number of equal parts in the whole or the group. has denominator . |

Dividend |
In a division problem, the dividend is the number or expression that is being divided. |

divisor |
In a division problem, the divisor is the number or expression that is being divided into the dividend. For example: In the expression , 6 is the divisor and 152 is the dividend. |

Polynomial long division |
Polynomial long division is the standard method of long division, applied to the division of polynomials. |

Rational Expression |
A rational expression is a fraction with polynomials in the numerator and the denominator. |

Rational Root Theorem |
The rational root theorem states that for a polynomial, , where are integers, the rational roots can be determined from the factors of and . More specifically, if is a factor of and is a factor of , then all the rational factors will have the form . |

Remainder Theorem |
The remainder theorem states that if , then is the remainder when dividing by . |

Synthetic Division |
Synthetic division is a shorthand version of polynomial long division where only the coefficients of the polynomial are used. |

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Description

Learn how to divide polynomials.

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Difficulty Level:

Basic
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Date Created:

Feb 24, 2012
Last Modified:

Aug 16, 2016
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