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

If the sum of the zeros of the polynomial `f(x)=2x^3-3k x^2+4x-5` is `6`, then the value of `k` is (a) `2` (b) `4` (c) `-2` (d) `-4`

Text Solution

AI Generated Solution

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 sum of the zeros of the quadratic polynomial f(x)=kx^(2)-3x+5 is 1, write the value of k

If the sum of the zeros of the polynomial 2x^(2)+3kx+3 is 6, then find the value of k.

If the sum of the zeroes of the polynomial p(x)=(k^(2)-14)x^(2)-2x-12 is 1 ,then value of k is

If the sum of zeroes of the polynomial p(x) = 3x^2 - kx + 6 is 3, then the value of k is  :

If the sum of zeroes of the polynomial 3x^(2)-2kx+5 is 4, then find the value of k.

If the product of zeros of the quadratic polynomial f(x)=x^(2)-4x+k is 3, find the value of k.

If x=1 is a zero of the polynomial f(x)=x^(3)-2x^(2)+4x+k, write the value of k.

If one zero(root) of the polynomial -2x^2+3x+5k is 4 then find the value of k

If one of the zeros of the quadratic polynomial (k - 2)x^2 - 2x - (k+5) is 4, find the value of k

If x=4//3 is a zero of the polynomial f(x)=6x^(3)-11x^(2)+kx-20 , then find the value of k.

RD SHARMA-POLYNOMIAL-All Questions
  1. If alpha,\ beta are the zeros of the polynomial p(x)=4x^2+3x+7 , then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for whi...

    Text Solution

    |

  8. Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for wh...

    Text Solution

    |

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

    Text Solution

    |

  10. If the product of two zeros of the polynomial f(x)=2x^3+6x^2-4x+9 is ,...

    Text Solution

    |

  11. If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)...

    Text Solution

    |

  12. In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha,\ beta,\ gamma are the zeros of the polynomial f(x)=a x^3+b x...

    Text Solution

    |

  15. If two of the zeros of the cubic polynomial a x^3+b x^2+c x+d are each...

    Text Solution

    |

  16. If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third...

    Text Solution

    |

  17. The product of the zeros of x^3+4x^2+x-6 is (a) -4 (b) 4 (c) 6 (d) ...

    Text Solution

    |

  18. What should be added to the polynomial x^2-5x+4 , so that 3 is the zer...

    Text Solution

    |

  19. What should be subtracted to the polynomial x^2-16 x+30 , so that 15 i...

    Text Solution

    |

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

    Text Solution

    |