Home
Class 10
MATHS
The GCD of x^(4)-1 and x^(2)-2x+1 is :...

The GCD of `x^(4)-1` and `x^(2)-2x+1` is :

A

`(x^(2)+1)(x+1)(x-1)^(2)`

B

`(x-1)^(2)`

C

`(x-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS (Match the following)|4 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO ACTIVITIES|7 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

Similar Questions

Explore conceptually related problems

The G.C.D. of x^(3) + 1 and x^(4) - 1 is ………………….

The GCD of x^(4) - y^(4) and x^(2) -y^(2) is

Find the GCD of 3x^(2) - 48 and x^(2) - 7x +12

The G.C.D of x^(4) + 3x^(3) + 5x^(2) + 26x + 56 and x^(4) + 2x^(3) - 4x^(2) - x + 28 is x^(2) + 5x + 7 Find their L.C.M.

Find the G.C.D of x^(3) - 10x^(2) + 31x - 30 and 2x^(3) - 8x^(2) + 2x + 12

Find the GCD of the following : x^(4) - 1 , x^(2) - 1

PREMIERS PUBLISHERS-ALGEBRA-OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS
  1. A linear equation in two variables represent a ………………. In xy plane.

    Text Solution

    |

  2. Solve: 2x+y=5,3x-2y=4

    Text Solution

    |

  3. The GCD of x^(4)-1 and x^(2)-2x+1 is :

    Text Solution

    |

  4. The LCM of 6x^(3)y^(2) and 48x^(2)y^(4) is :

    Text Solution

    |

  5. LCM xx GCD is equal to ………………. Of two given numbers.

    Text Solution

    |

  6. Reduce to its lowest terms (x^(2)-9)/(x^(2)-7x+12) :

    Text Solution

    |

  7. Find the excluded value of (3p+2)/(p^(2)-5p+6) :

    Text Solution

    |

  8. Simplify : ((x^(2)-1)/((x^(2)-3x+2)))xx((x-2)/(x+1))

    Text Solution

    |

  9. Find : (16a^(2)-2a-3)/(8a^(2)+11a+3) div (3a^(2)-2a-1)/(3a^(2)-11a-4)

    Text Solution

    |

  10. If a polynomial p(x)=x^(2)-6x-7 is divided by g(x), we get (x-7)/(x+1)...

    Text Solution

    |

  11. Simplify : (x^(2)+1)/(x^(2)+3x+2)-(x^(2)-x)/(x^(2)+3x+2)

    Text Solution

    |

  12. Find the square root of: (144(a+b)^(8)(x-y)^(4))/(64(a-b)^(2)(x+y)^(6)...

    Text Solution

    |

  13. Find the square root of (1+(2)/(x^(4))+(1)/(x^(8))) :

    Text Solution

    |

  14. Find the zeros of x^(2)-6x-7 :

    Text Solution

    |

  15. What is the quadratic equation fr which the sum and product of the roo...

    Text Solution

    |

  16. Solve : sqrt(3)x^(2)+5x+2sqrt(3)=0

    Text Solution

    |

  17. The condition put the equation x^(2)(p^(2)+q^(2))-2x(pr+qs)+(r^(2)+s^(...

    Text Solution

    |

  18. If alpha and beta are roots of x^(2)+8x+10=0 then (alpha)/(beta)+(beta...

    Text Solution

    |

  19. If A=|{:(8,0,0),(0,-1,0),(0,0,1):}| then A is:

    Text Solution

    |

  20. If A is (m xx n) matrix then A^(T) will be a matrix of the type :

    Text Solution

    |