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.

– | – | + | + | ||||||||

– | + | + | |||||||||

+ | + |

The final answer is the quotient plus the remainder over the divisor.

Divide (x^2+4x+19)/(x^2-x-24)