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.

– | |||||||||||||||

– | + | – | + | – | – | ||||||||||

– | + | – | |||||||||||||

– | + | – | |||||||||||||

+ | – | + | |||||||||||||

– | + |

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 (8x^4-68x^3+230x^2-84x-50)/(x^2-8x+25)