Home
Class 12
MATHS
Form the polynomial with rational co...

Form the polynomial with rational coefficients whose roots are
` i- sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
`x^4 -8x^2 +36=0`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.3 (SHORT ANSWER QUESTIONS)|14 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.3 (LONG ANSWER QUESTIONS)|19 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (LONG ANSWER QUESTIONS)|9 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Form the polynomial with rational coefficients whose roots are 1+ 5i ,5-i

Form the polynomial equation with rational coefficients whose roots are i-sqrt(5)

Form the polynomial equation with rational coefficients whose roots are -sqrt(3)+isqrt(2)

Form the polynomial with rational coefficients whose roots are 4sqrt(3) ,5+2i

Form the polynomial equation with rational coefficients whose roots are 4sqrt(3),5+2i

Form the polynomial equation with rational coefficients whose roots are 1+5i,5-I

Find the polynomial with rational coefficients and whose roots are 0,0,2,2,-2,-2

Find the polynomial with rational coefficients and whose roots are 0,1,-3//2,5//2

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE -2.3 (VERY SHORT ANSWER QUESTIONS)
  1. Form the polynomial equation whose root are 2 ,1 +- 3i

    Text Solution

    |

  2. Form the polynomial equation whose root are 1,3-sqrt(-2)

    Text Solution

    |

  3. From the polynomial equation whose roots are 1+I,1-I,-1+I,-1-I

    Text Solution

    |

  4. From the polynomial equation whose roots are 3,2,1+I,,1-I

    Text Solution

    |

  5. From the polynomial equation whose roots are 1+I,1-I,1+I,1-I

    Text Solution

    |

  6. Form the polynomial equation whose root are 4+- sqrt(3) ,2 +- i

    Text Solution

    |

  7. Form the polynomial with rational coefficients whose roots are ...

    Text Solution

    |

  8. Form the polynomial with rational coefficients whose roots are ...

    Text Solution

    |

  9. Form the polynomial with rational coefficients whose roots are ...

    Text Solution

    |

  10. Form the polynomial equation with rational coefficients whose roots ar...

    Text Solution

    |

  11. Find the transformed equation whose roots are the negatives of t...

    Text Solution

    |

  12. Find the polynomial equation whose roots are the negatives of th...

    Text Solution

    |

  13. Find the equation whose roots are the reciprocals of the roots ...

    Text Solution

    |

  14. Find the equation whose roots are the reciprocals of the roots ...

    Text Solution

    |

  15. Find the equation whose roots are 3 times the roots of x^3 +2...

    Text Solution

    |

  16. Find the equation whose roots are 3 times the roots of 6x^4 ...

    Text Solution

    |

  17. Find the equation whose roots are 2 times the roots of x^5 -2...

    Text Solution

    |

  18. Find the equation whose roots are the squares of the roots of...

    Text Solution

    |

  19. Find the equation whose roots are the squares of the roots of...

    Text Solution

    |

  20. Find the equation whose roots are the cubes of the roots of x^...

    Text Solution

    |