Home
Class 10
MATHS
If the two zeros of polynomial f(x) = x^...

If the two zeros of polynomial `f(x) = x^3 - 4 x^2 -3x + 12` are `sqrt3` and `-sqrt3`; then find its third zero.

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos
  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If the two zeros of polynomial f(x)=x^(3)-4x^(2)-3x+12 are sqrt(3) and -sqrt(3); then find its third zero.

If two zeroes of the polynomial f(x)=x^(3)-3x^(2)-12x+36 are 2sqrt3 and -2sqrt3 then find its third zero.

If two zeroes of the polynomial x^(3)-4x^(2)-3x+12 are sqrt(3) and -sqrt(3), then find its third zero.

If two zeroes of the polynomial x^(4)+x^(3)-9x^(2)-3x+18 are sqrt3 and -sqrt3 , then the other zeroes are

If two zeros of the polynomial (x^(4)-6x^(3) - 26x^(2) + 138x-35) are (2+sqrt3) and (2-sqrt3) , find other zeros.

Find the zeroes of the polynomial x^(2)-4x +3

If two zeroes of the polynomial x^(4)+3x^(3)-20x^(2)-6x+36 are sqrt(2) and -sqrt(2). find the other zeroes of polynomial

Find the zeros of the polynomial x^(2) - 3 x - m ( m + 3)

If two of the zeroes of the polynomial p(x)=5x^(4)-5x^(3)-33x^(2)+3x+18 are sqrt((3)/(5)) and -sqrt((3)/(5)) find the other two zeroes.

find the zeroes of the polynomial f(x) = x^3-12x^2 +39x -28 , if the zeroes are in A.P

RD SHARMA-POLYNOMIAL-All Questions
  1. Find a cubic polynomial with the sum, sum of the products of its zeros...

    Text Solution

    |

  2. Find the condition which must be satisfied by the coefficients of the ...

    Text Solution

    |

  3. If the two zeros of polynomial f(x) = x^3 - 4 x^2 -3x + 12 are sqrt3 a...

    Text Solution

    |

  4. Find the zeros of the polynomial f(x)=x^3-5x^2-16 x+80 , if its two ze...

    Text Solution

    |

  5. Find the zeros of the polynomial f(x)=x^3-12 x^2+39 x-28 , if it is gi...

    Text Solution

    |

  6. If the zeros of the polynomial f(x)=x^3-3x^2+x+1 are a-b ,\ \ a ,\ \ a...

    Text Solution

    |

  7. Verify that the numbers given along side of the cubic polynomial f(x)=...

    Text Solution

    |

  8. Verify that the numbers given along side of the cubic polynomial g(x)=...

    Text Solution

    |

  9. Find a cubic polynomial with the sum, sum of the product of its zeros ...

    Text Solution

    |

  10. If the zeros of the polynomial f(x)=2x^3-15 x^2+37 x-30 are in A.P....

    Text Solution

    |

  11. Find the condition that the zeros of the polynomial f(x)=x^3+3p x^2+3q...

    Text Solution

    |

  12. If the zeros of the polynomial f(x)=a x^3+3b x^2+3c x+d are in A.P., p...

    Text Solution

    |

  13. If the zeros of the polynomial f(x)=x^3-12 x^2+39 x+k are in A.P., fin...

    Text Solution

    |

  14. Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-...

    Text Solution

    |

  15. Divide the polynomial f(x)=6x^3+11 x^2-39 x-65 by the poly-nomial g(x)...

    Text Solution

    |

  16. Divide the polynomial u(x)=9x^4-4x^2+4 by the poly-nomial v(x)=3x^2+x-...

    Text Solution

    |

  17. Divide the polynomial f(x)=30 x^4+11 x^3-82 x^2-12 x+48 by 3x^2+2x-4 ....

    Text Solution

    |

  18. Apply the division algorithm to find the quotient and remainder on ...

    Text Solution

    |

  19. Apply the division algorithm to find the quotient and remainder on ...

    Text Solution

    |

  20. Apply the division algorithm to find the quotient and remainder on ...

    Text Solution

    |