Home
Class 9
MATHS
Show that (x-1) is a factor of x ^(10) -...

Show that `(x-1)` is a factor of `x ^(10) -1` and also of `x ^(11) -1.`

Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL CONSTRUCTIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|36 Videos

  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|76 Videos

Similar Questions

Explore conceptually related problems

Show that (x-1) is a factor of x ^(n)-1.

4x + 1 is a factor of ____

Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x + 24.

Factors of 12 x ^(2) + 11 x +2

Show that the sum of the coefficients of x^(25) and x^(-10) of (x^(4) -(1)/(x^(3)))^(15) is zero.

Show that x + (1)/(x) is increasing on [1, oo) .

Show that Lt_(x to 0)(log(1+x))/(x^(2))=1

Show that (x)/(1+x) lt ln (1+x) lt x AA x gt 0 .

Use the Factor Theorem to determine whether g(x) is factor of f(x) in each of the following cases : f(x)=5x^(3)+x^(2)-5x-1,g(x)=x+1

VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Examine whether x +2 is a factor of x ^(3) + 2x ^(2) + 3x +6

    Text Solution

    |

  2. Find the value of K, if 2x-3 Is a factor of 2x^3-9x^2 +x+K.

    Text Solution

    |

  3. Show that (x-1) is a factor of x ^(10) -1 and also of x ^(11) -1.

    Text Solution

    |

  4. Show that (x-1) is a factor of x ^(n)-1.

    Text Solution

    |

  5. Factorise 3x ^(2) + 11 x + 6

    Text Solution

    |

  6. Fractorise the following (i) 6x ^(2) + 19 x + 15

    Text Solution

    |

  7. Factors of 10 m ^(2) - 31m - 132

    Text Solution

    |

  8. Factorise the following. 12x^2+11x+2

    Text Solution

    |

  9. Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^...

    Text Solution

    |

  10. Factorise x ^(3) - 23 x ^(2) + 142 x -120

    Text Solution

    |

  11. Determine which of the following polynomials has (x +1) as a factor. ...

    Text Solution

    |

  12. Determine which of the following polynomials has (x +1) as a factor. ...

    Text Solution

    |

  13. Determine which of the following polynomials has (x +1) as a factor. ...

    Text Solution

    |

  14. Determine which of the following polynomials has (x +1) as a factor. ...

    Text Solution

    |

  15. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

    Text Solution

    |

  16. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

    Text Solution

    |

  17. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

    Text Solution

    |

  18. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

    Text Solution

    |

  19. Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x ...

    Text Solution

    |

  20. Show that (x + 4), (x - 3) and (x-7) are factors of x^3-6x^2 - 19x + 8...

    Text Solution

    |