# Divide 2×2 + 17x + 35 by x + 5.

Input |
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(2 x^2 + 17 x + 35)/(x + 5) |

Result |

2 x + 7 (for x!=-5) |

Expanded form |

(2 x^2)/(x + 5) + (17 x)/(x + 5) + 35/(x + 5) |

Quotient and remainder |

2 x^2 + 17 x + 35 = (2 x + 7) × (x + 5) + 0 |

Root |

x = -7/2 |

Derivative |

d/dx((2 x^2 + 17 x + 35)/(x + 5)) = 2 |

Indefinite integral |

integral (35 + 17 x + 2 x^2)/(5 + x) dx = x (x + 7) + constant |