Home
Class 10
MATHS
If the product of zeros of the polynomia...

If the product of zeros of the polynomial `f(x)=a x^3-6x^2+11 x-6` is 4, then `a=` (a) `3/2` (b) `-3/2` (c) `2/3` (d) `-2/3`

A

`2/3`

B

`3/2`

C

`-1`

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|244 Videos
  • POLYNOMIALS

    VGS PUBLICATION-BRILLIANT|Exercise Part - B : Observation bits to solve various bits given in the public examination.|40 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|262 Videos
  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|220 Videos

Similar Questions

Explore conceptually related problems

If the product of the zeros of the polynomial f(x)= ax^3-6x^2+11x-6 is 4, then a = .....

the zeroes of the polynomial p(x) = x^2-3 are

The product of the zeroes of the polynomial 3x^3-5x^2-10x+15 is

The zero of the polynomial 2x-3 is

If the sum of the zeros of the polynomial f(x) = 2x^(3) - 3 kx^(2) + 4x - 5 is 6 then k = …………

Product of zeroes of the cubic polynomial 3x^(3) - 5x^(2) - 11x -3 is ……….

Sum of zeroes of a polynomial x^(3) - 2x^(2) + 3x -4 is ……………

If 3 is a zero of the polynomial x ^(2) + 2x -a, then find a.

Show that 3 and -2 are the zeroes of the polynomial p(x)=x^2-x-6 .

Why are 1/3 and -2 zeroes of polynomial p(x) = 3x^2+5x-2 ?

VGS PUBLICATION-BRILLIANT-POLYNOMIALS-Creative Bits for CCE Model Examination
  1. If f(x)=ax^2+bx+c has no real zeros and a+b+c<0 then…..

    Text Solution

    |

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

    Text Solution

    |

  3. If the product of zeros of the polynomial f(x)=a x^3-6x^2+11 x-6 is 4,...

    Text Solution

    |

  4. If the order of ax^(5) + 3x^(4) + 4x^(3) + 3x^(2) + 2x +1 is 4 then a...

    Text Solution

    |

  5. If one zero of the polynomial f(x) = 5x^(2) + 13x + k is reciprocal of...

    Text Solution

    |

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

    Text Solution

    |

  7. If the sum of the zeros of the polynomial f(x) = 2x^(3) - 3 kx^(2) + 4...

    Text Solution

    |

  8. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  9. If the polynomial f(x) = ax^(3) + bx - c is divisible by the polynomi...

    Text Solution

    |

  10. The product of the zeros of x^(3) + 4x^(2) + x - 6 is ………….

    Text Solution

    |

  11. A quadratic polynomial , the sum of whose zeroes of 0 and one zero is ...

    Text Solution

    |

  12. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^(3) + 3x^(2)...

    Text Solution

    |

  13. If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) ...

    Text Solution

    |

  14. If x+ 2 is a factor of x^(2) + ax + 2b and a+b = 4 then a = …………..

    Text Solution

    |

  15. In the above problem b = ……………..

    Text Solution

    |

  16. If one zero of the polynomial f(x) = (k^(2)+4)x^(2) + 13 x + 4k is rec...

    Text Solution

    |

  17. If two zeros of x^(3) + x^(2) - 5x -5 are sqrt(5) and -sqrt(5) then it...

    Text Solution

    |

  18. If zeros of polynomial f(x0 = x^(3) - 3px^(2)+qx-r are in AP then 2p^(...

    Text Solution

    |

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

    Text Solution

    |

  20. What should be subtracted from the polynomial x^(2) - 16x + 30 so that...

    Text Solution

    |