8x-9x-3

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.

x | – | 3 | 8x | – | 9 |

Divide the highest order term in the dividend 8x by the highest order term in divisor x.

8 | |||||||

x | – | 3 | 8x | – | 9 |

Multiply the new quotient term by the divisor.

8 | |||||||

x | – | 3 | 8x | – | 9 | ||

+ | 8x | – | 24 |

The expression needs to be subtracted from the dividend, so change all the signs in 8x-24

8 | |||||||

x | – | 3 | 8x | – | 9 | ||

– | 8x | + | 24 |

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

8 | |||||||

x | – | 3 | 8x | – | 9 | ||

– | 8x | + | 24 | ||||

+ | 15 |

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

8+15x-3

Divide (8x-9)/(x-3)