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

Form polynomial equations of the lowest degree , with roots as given below 0,0,2,,2,-2,-2

Text Solution

Verified by Experts

Required equation is
(x-0) (x-0)(x-2) (x-2) (x+2) (x+2)=0
`rArr x^2 (x-2)^2 (x+2)^2 =0`
`rArr x^2( x^2-4)^2 =0`
`rArr x^2(x^4-8x^4+16)=0`
`rArr x^6-8x^4+16x^2 =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

Form polynomial equations of the lowest degree , with roots as given below 0,1,- 3/2,-5/2

Form polynomial equation of the lowest degree with roots 1,-1,3

Form polynomial equations of the lowest degree , with roots as given below 1pm 2i, 4,2 Hint : In an equation Imaginary roots occur in conjugate pairs.

Form polynomial equations of the lowest degree , with roots as given below 2pm sqrt(3) ,1 pm 2i

Form polynomial equations of the lowest degree , with roots as given below 1pm sqrt(3) ,2,5

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

The polynomial equation of the lowest degree having roots 1 , sqrt(3)i is

Form the polynomial equation of degree 3 whose roots are 2,3 and 6.

Form the polynomial equation whose root are 2 ,1 +- 3i

find the (monic ) polynomial equation of lowest degree whose roots are 1,3,5,7

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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,gamma are the roots of x^3-6x^2+11x-6=0 then find t...

    Text Solution

    |