Home
Class 12
MATHS
Let p(x) =x^6-x^5-x^3-x^2-x and alpha, b...

Let `p(x) =x^6-x^5-x^3-x^2-x` and `alpha, beta, gamma, delta` are the roots of the equation `x^4-x^3-x^2-1=0` then `P(alpha)+P(beta)+P(gamma)+P(delta)=`

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • PROBABILITY

    VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x & alpha, beta, gamma, delta are the roots of the equation Q(x)=x^(4)-x^(3)-x^(2)-1=0 Then P(alpha)+P(beta)+P(gamma)+P(delta)=

If alpha,beta,gamma,delta are the roots of the equation 3x^(4)-8x^(3)+2x^(2)-9=0 then sum alpha beta=

If alpha,beta,gamma,delta are the roots of x^(4)-x^(3)-7x^(2)+x+6=0 then alpha^(4)+beta^(4)+gamma^(4)+delta^(4)=

If alpha,beta,gamma are the roots of the equation 2x^(3)-5x^(2)+3x-1=0, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha) is

If alpha,beta,gamma,delta are the roots of the equation x^(4)+x^(2)+1=0 then the equation whose roots are alpha^(2),beta^(2),gamma^(2),delta^(2) is

If alpha,beta,gamma are the roots of the equation x^(3)+4x+1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If alpha,beta,gamma are the roots of the equation,x^(3)+P_(0)x^(2)+P_(1)x+P_(2)=0 ,then (1-alpha^(2))(1-beta^(2))(1-gamma^(2)) is equal to

If alpha,beta,gamma,delta are the roots of the equatione roots of the equation x^(4)-2x^(3)+4x^(2)+6x-21=0, then is sum alpha beta

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...

    Text Solution

    |

  2. The integral values of x for which x^2 +17x+71 is perfect square of a ...

    Text Solution

    |

  3. Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...

    Text Solution

    |

  4. The number of real values of 'a' for which the largest value of the fu...

    Text Solution

    |

  5. The number of all values of n, (whre n is a whole number ) for which t...

    Text Solution

    |

  6. The number of negative intergral values of m for which the expression ...

    Text Solution

    |

  7. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

    Text Solution

    |

  8. The smallest value of k for which both the roots of the equation x^2-8...

    Text Solution

    |

  9. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

    Text Solution

    |

  10. The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...

    Text Solution

    |

  11. The curvey y = (a +1) x ^(2) + 2 meets the curve y = ax +3, a ne -1 in...

    Text Solution

    |

  12. Find the number of integral vaues of 'a' for which the range of functi...

    Text Solution

    |

  13. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

    Text Solution

    |

  14. Let p (x) be a polynomial equation of least possible degree, with rati...

    Text Solution

    |

  15. The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=...

    Text Solution

    |

  16. Let p (x) be a polynomial with real coefficient and p (x)=p'(x) =x^(2)...

    Text Solution

    |

  17. Find the smallest positive integral value of a for which the greater r...

    Text Solution

    |

  18. If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real root...

    Text Solution

    |

  19. Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider...

    Text Solution

    |

  20. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |