Home
Class 12
MATHS
Resolve the following into partial fract...

Resolve the following into partial fractions.
`(3x+7)/(x^(2)-3x+2)`

Text Solution

Verified by Experts

`(3x+7)/(x^(2)-3x+2)=(3x+7)/((x-1)(x-2)) = A/(x-1) + B/(x-2) `
Multiplying with `x^(2) - 3x+2`
`3 x + 7 = A(x_2) + B(x-1) `
`x = 1 rArr 10 = -A rArr A = -10`
`x = 2 rArr 13 = B`
`therefore (3x+7)/(x^(2)-3x+2)=(-10)/(x-1) + 13/(x-2)`
Promotional Banner

Topper's Solved these Questions

  • PARTIAL FRACTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 7|32 Videos

  • PARABOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE-3 (b) iii.|5 Videos

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TAXTUAL EXERCISES|73 Videos

Similar Questions

Explore conceptually related problems

Resolve the following into partial fractions. (x+4)/((x^(2)-4)(x+1))

Resolve the following into partial fractions. (3x-1)/((1-x+x^(2))(x+2))

Resolve the following into partial fractions. 1/((1-2x)^(2)(1-3x)

Resolve the following into partial fractions. 9/((x-1)(x+2)^(2))

Resolve the following into partial fractions. (5x-6)/((2+x)(1-x))

Resolve the following into partial fractions. (2x+3)/ ((x-1)^(3))

Resolve the following into partial fractions. (2x+3)/((x+1)(x-3))

Resolve the following into partial fractions. 1/(x^(3)(x+a))

Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/((x-1)^(4))

Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PARTIAL FRACTIONS -EXERCISE- 7
  1. Resolve the following into partial fractions. (2x+3)/((x+1)(x-3))

    Text Solution

    |

  2. Resolve the following into partial fractions. (5x-6)/((2+x)(1-x))

    Text Solution

    |

  3. Resolve the following into partial fractions. (3x+7)/(x^(2)-3x+2)

    Text Solution

    |

  4. Resolve the following into partial fractions. (x+4)/((x^(2)-4)(x+1))

    Text Solution

    |

  5. Resolve the following into partial fractions. (2X^(2)+2x+1)/(x^(3)+x...

    Text Solution

    |

  6. Resolve the following into partial fractions. (2x+3)/ ((x-1)^(3))

    Text Solution

    |

  7. Resolve the following into partial fractions. (x^(2)-2x+6)/((x-2)^(3...

    Text Solution

    |

  8. Resolve the following into partial fractions. (x^(2)-x+1)/((x+1)(x-1)^...

    Text Solution

    |

  9. Resolve the following into partial fractions. 9/((x-1)(x+2)^(2))

    Text Solution

    |

  10. Resolve the following into partial fractions. 1/((1-2x)^(2)(1-3x)

    Text Solution

    |

  11. Resolve the following into partial fractions. 1/(x^(3)(x+a))

    Text Solution

    |

  12. Resolve the following into partial fractions. (x^(2)+5x+7)/((x-3)^(3...

    Text Solution

    |

  13. Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...

    Text Solution

    |

  14. Resolve the following into partial fractions. (2x^(2)+3x+4)/((x-1)(x...

    Text Solution

    |

  15. Resolve the following into partial fractions. (3x-1)/((1-x+x^(2))(x+...

    Text Solution

    |

  16. Resolve the following into partial fractions. (x^(2)-3)/((x+2)(x^(2)+...

    Text Solution

    |

  17. Resolve the following into partial fractions. (x^(2)+1)/((x^(2)+x+1)...

    Text Solution

    |

  18. Resolve the following into partial fractions. (x^(3) + x^(2)+1)/ ((x...

    Text Solution

    |

  19. Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

    Text Solution

    |

  20. Resolve the following into partial fractions. (x^(3))/((x-1)(x+2))

    Text Solution

    |