Home
Class 10
MATHS
If alpha, beta, gamma are the zeros of t...

If `alpha, beta, gamma` are the zeros of the polynomial `f(x) = ax^(3) + bx^(2) + cx + d` then `1/(alpha) + 1/(beta) + 1/(gamma)` = ………….

A

`1/d`

B

`1/c`

C

`c/d`

D

`-c/d`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    BEYOND PUBLICATION|Exercise EXERCISE|56 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    BEYOND PUBLICATION|Exercise EXERCISE|174 Videos

  • PROBABILITY

    BEYOND PUBLICATION|Exercise EXERCISE|136 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then (alpha)^2 + (beta)^2 + (gamma)^2 = ………….

If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) + qx - r then 1/(alpha beta) + 1/(beta gamma) + 1/(gamma alpha) = …………..

If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c then 1/(alpha^2) + 1/(beta^2) = …………….

If alpha, beta, gamma are the zeroes of the cubic polynomial ax^(3) + bx^(2) + cx +d and (a != 0) , then alpha beta gamma = ……….

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

If alpha, beta are the zeroes of the polynomial f(x) = x^2+x+1 , then 1/alpha+1/beta =

If alpha, beta, gamma are the roots of the equation x^(3) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=

If alpha, beta are the zeros of polynomial f(x) = x^(2) - p(x+1)-c then (alpha + 1) (beta +1 ) = …………

If alpha, beta are the zeroes of the polynomial f(x)= x^2+x+1 , then (alpha+1)(beta+1) =

If alpha, beta , gamma are the roots of x^(3) - px^(2) + qx - r = 0 then match the following. (1)/(alpha) + (1)/(beta) + (1)/(gamma)" "(a)(p^(2) - 2q)/(r^(2)) ii. (1)/(alpha beta) + (1)/(beta gamma) + (1)/(gamma alpha)=" "(b) (q^(2) - 2pr)/(r^(2)) iii. (1)/(a^(2)) + (1)/(beta^(2)) + (1)/(gamma^(2)) =" " (c ) (p)/(r ) iv. (1)/(alpha^(2) beta^(2)) + (1)/(beta^(2) gamma^(2) ) + (1)/(gamma^(2) alpha^(2)) = " " (d) (q)/(r )

BEYOND PUBLICATION-POLYNOMIALS-EXERCISE
  1. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  2. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x

    Text Solution

    |

  3. If p(x) = 2x^5-6x^4+3x-8, find degree of p(x)

    Text Solution

    |

  4. If p(x) = 2x^5-6x^4+3x-8, find constant term

    Text Solution

    |

  5. If p(x) = 2x^5-6x^4+3x-8, find coefficient of x^4

    Text Solution

    |

  6. If p(x) = 17x^3+30x-62x^2+10x^4-3, find degree of p(x)

    Text Solution

    |

  7. If p(x) = 17x^3+30x-62x^2+10x^4-3, find coefficient of x^2

    Text Solution

    |

  8. If p(x) = 17x^3+30x-62x^2+10x^4-3, find sum of the coefficients of p...

    Text Solution

    |

  9. If p(x) = 17x^3+30x-62x^2+10x^4-3, find constant terms.

    Text Solution

    |

  10. If p(t) = 2t^3+5t-7, find the values of p(1), p(-1),p(0),p(2),p(-2).

    Text Solution

    |

  11. Check whether -3 and 3 are the zeroes of the polynomial x^4-81. [hin...

    Text Solution

    |

  12. Check whether 2 and -5 are the zeroes of the polynomial x^2+3x-10.

    Text Solution

    |

  13. Check whether -2 and 6 are the zeroes of the polynomial x^2-4x-12. ...

    Text Solution

    |

  14. State which of the following statements are true and which are false? ...

    Text Solution

    |

  15. State which of the following statements are true and which are false? ...

    Text Solution

    |

  16. State which of the following statements are true and which are false? ...

    Text Solution

    |

  17. State which of the following statements are true and which are false? ...

    Text Solution

    |

  18. State which of the following statements are true and which are false? ...

    Text Solution

    |

  19. Find the zeroes of the given polynomials p(x) = 5x

    Text Solution

    |

  20. Find the zeroes of the given polynomials p(x) = x^2+7x+12

    Text Solution

    |

  21. Find the zeroes of the given polynomials p(x) = (x+8)(x+5)

    Text Solution

    |