Home
Class 12
MATHS
Form polynomial equations of the lowest...

Form polynomial equations of the lowest degree , with roots as given below .
Hint : Equation having roots `alpha ,beta ,gamma` is `(x-alpha) (x-beta) (x-gamma) =0`
1,-1,3

Text Solution

Verified by Experts

Required equation is
(x-1) (x+1) (x-3) =0
`rArr (x^2-1) (x-3)=0 `
`rArr x^3-3x^2-x +3=0 `
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(b)|24 Videos

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(c)|17 Videos

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE LAQ -7 MARKS|4 Videos

  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the equation whose roots are alpha + beta , beta + gamma , gamma + alpha is

If alpha,beta,gamma roots of a cubic polynomial then alpha beta gamma =……

If alpha , beta , gamma are the roots of the equation x^3 +px^2 + qx +r=0 then the coefficient of x in cubic equation whose roots are alpha ( beta + gamma ) , beta ( gamma + alpha) and gamma ( alpha + beta) is

If alpha , beta , gamma are the roots of x^3 + px^2 + qx + r=0 form the equation whose roots are alpha beta , beta gamma , gamma alpha

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

If alpha , beta , gamma are the roots of x^3 +x^2 + 2x +3=0 then the equation whose roots beta + gamma , gamma + alpha , alpha + beta is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-THEORY OF EQUATIONS -EXERCISE -4(a)
  1. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  2. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  3. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  4. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  5. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  6. Form polynomial equations of the lowest degree , with roots as given ...

    Text Solution

    |

  7. If alpha,beta,gamma are the roots of 4x^3-6x^2+7x+3=0 then find th...

    Text Solution

    |

  8. if 1,1,alpha are the roots of x^3-xx^2+9x-4=0 ,then find alpha .

    Text Solution

    |

  9. If -1,2 and alpha are the roots of 2x^3 +x^2-7x-6=0 , then find alp...

    Text Solution

    |

  10. If 1,-2 and 3 are roots of x^3-2x^2+ax+6=0 , then find a .

    Text Solution

    |

  11. If the product of the roots of 4x^3+16x^2-9xa=0 is 9 , then find a .

    Text Solution

    |

  12. Find the values of s1, s2,s3 and s4 for each of the following equation...

    Text Solution

    |

  13. Find the values of s1, s2,s3 and s4 for each of the following equation...

    Text Solution

    |

  14. If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alp...

    Text Solution

    |

  15. If alpha ,beta and gamma are the roots of x^3-2x^2+3x-4 =0 , then fi...

    Text Solution

    |

  16. If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find t...

    Text Solution

    |

  17. If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find t...

    Text Solution

    |

  18. If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find t...

    Text Solution

    |

  19. If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find t...

    Text Solution

    |

  20. If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find t...

    Text Solution

    |