8x+15x-6

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

x | – | 6 | 8x | + | 15 |

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

8 | |||||||

x | – | 6 | 8x | + | 15 |

Multiply the new quotient term by the divisor.

8 | |||||||

x | – | 6 | 8x | + | 15 | ||

+ | 8x | – | 48 |

The expression needs to be subtracted from the dividend, so change all the signs in 8x-48

8 | |||||||

x | – | 6 | 8x | + | 15 | ||

– | 8x | + | 48 |

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

8 | |||||||

x | – | 6 | 8x | + | 15 | ||

– | 8x | + | 48 | ||||

+ | 63 |

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

8+63x-6

Divide (8x+15)/(x-6)