Home
Class 9
MATHS
Is the polynomial (x^(101)+1) divisible ...

Is the polynomial `(x^(101)+1)` divisible by (x + 1) ? Give reasons in favour of your answer.

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|36 Videos
  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos
  • PROBABILITY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2|16 Videos

Similar Questions

Explore conceptually related problems

Show that the polynomial (x^(70)+1) is not divisible by (x - 1)

Is root(3)(11) a polynomial ? Give reasons in favour of your answer.

Prove that the polynomial (x^(10)-y^(10)) is divisible by (x + y).

Prove that (x^(201)+1) is divisible by (x+1).

The number (101)^(100)-1 is divisible by

If the polynomial p(x)=x^(3)+6x^(2)+4x+k is divisible by (x + 2), then k =

Show that the polynomial (x^(71)+1) is not divisible by (x - 1), but is divisible by (x + 1).

Prove that the polynomial (x^(-17)+1) is not divisible by (x - 1), but is divisible by (x + 1).

Prove that the polynomial (x^(100)-a^(100)) is divisible by (x + a), but not divisible by (x - a).

The polynomial x^3 + 3x^2 - x - 3 is divisible by

CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
  1. If n be an odd negative integer, then prove that (x + 1) is a polynomi...

    Text Solution

    |

  2. Prove that the polynomial (x^(5)-y^(5)) is not divisible be (x + y).

    Text Solution

    |

  3. Is the polynomial (x^(101)+1) divisible by (x + 1) ? Give reasons in f...

    Text Solution

    |

  4. Examine whether (x + y) is a factor of the polynomial (x^(11)+y^(11)) ...

    Text Solution

    |

  5. If (x + 2y) be a factor of the polynomial (x^(2)+4xy+4y^(2)), find the...

    Text Solution

    |

  6. If (x-sqrt11) be a factor of the polynomial of f(x), but not a factor ...

    Text Solution

    |

  7. Determine whether (x + 1) is a factor of the follwing polynomials or n...

    Text Solution

    |

  8. Determine whether (x + 1) is a factor of the follwing polynomials or n...

    Text Solution

    |

  9. Determine whether (x + 1) is a factor of the follwing polynomials or n...

    Text Solution

    |

  10. Determine whether (x + 1) is a factor of the follwing polynomials or n...

    Text Solution

    |

  11. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

    Text Solution

    |

  12. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

    Text Solution

    |

  13. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

    Text Solution

    |

  14. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

    Text Solution

    |

  15. Determine the value of k for which g(x) is a factor of f(x) of the fol...

    Text Solution

    |

  16. Determine the value of k for which g(x) is a factor of f(x) of the fol...

    Text Solution

    |

  17. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

    Text Solution

    |

  18. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

    Text Solution

    |

  19. If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4), find the...

    Text Solution

    |

  20. If m, n be natural numbers and (x^(2)-n) be a factor of the polynomial...

    Text Solution

    |