Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .

– | – | – |

Divide the highest order term in the dividend by the highest order term in divisor .

– | – | – |

Multiply the new quotient term by the divisor.

– | – | – | |||||||

+ | – |

The expression needs to be subtracted from the dividend, so change all the signs in

– | – | – | |||||||

– | + |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

– | – | – | |||||||

– | + | ||||||||

+ |

Pull the next terms from the original dividend down into the current dividend.

– | – | – | |||||||

– | + | ||||||||

+ | – |

Divide the highest order term in the dividend by the highest order term in divisor .

+ | |||||||||

– | – | – | |||||||

– | + | ||||||||

+ | – |

Multiply the new quotient term by the divisor.

+ | |||||||||

– | – | – | |||||||

– | + | ||||||||

+ | – | ||||||||

+ | – |

The expression needs to be subtracted from the dividend, so change all the signs in

+ | |||||||||

– | – | – | |||||||

– | + | ||||||||

+ | – | ||||||||

– | + |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

+ | |||||||||

– | – | – | |||||||

– | + | ||||||||

+ | – | ||||||||

– | + | ||||||||

Since the remander is , the final answer is the quotient.

Divide Using Long Polynomial Division (2x^2-5x-3)/(x-3)