Home
Class 10
MATHS
If a-b ,\ a and a+b are zeros of the pol...

If `a-b ,\ a` and `a+b` are zeros of the polynomial `f(x)=2x^3-6x^2+5x-7` , write the value of `a` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos
  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

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

Zero of the polynomial p(x) =2x+5 is

Find rational roots of the polynomial f(x)=2x^3+x^2-7x-6

If x=1/2 is a zero of the polynomial f(x)=8x^3+a x^2-4x+2, find the value of a

If x=-1/2 is a zero of the polynomial p(x)=8x^3-a x^2-x+2, find the value of a

If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b , find the value of a and b .

If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b , find the value of a and b .

If x=2 is a root of the polynomial f(x)=2x^2-3x+7a , find the value of a

Write the zeros of the polynomial x^2-x-6 .

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

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If fourth degree polynomial is divided by a quadratic polynomial, writ...

    Text Solution

    |

  2. If f(x)=x^3+x^2-a x+b is divisible by x^2-x write the values of a and ...

    Text Solution

    |

  3. If a-b ,\ a and a+b are zeros of the polynomial f(x)=2x^3-6x^2+5x-7 , ...

    Text Solution

    |

  4. Write the coefficients of the polynomial p(z)=z^5-2z^2+4 .

    Text Solution

    |

  5. Write the zeros of the polynomial x^2-x-6 .

    Text Solution

    |

  6. If (x+a) is a factor of 2x^2+2a x+5x+10 , find a .

    Text Solution

    |

  7. For what value of k ,if -4 is a zero of the polynomial x^2-x-(2k+2) ?

    Text Solution

    |

  8. If 1 is a zero of the polynomial p(x)=a x^2-3(a-1)x-1 , then find the ...

    Text Solution

    |

  9. If alpha,\ beta are the zeros of the polynomial such that alpha+bet...

    Text Solution

    |

  10. If alpha,\ beta are the zeros of the polynomial 2y^2+7y+5 , write the ...

    Text Solution

    |

  11. For what value of k , is 3 a zero of the polynomial 2x^2+x+k ?

    Text Solution

    |

  12. For what value of k , is -3 a zero of the polynomial x^2+11 x+k

    Text Solution

    |

  13. If a quadratic polynomial f(x) is factorizable into linear distinct...

    Text Solution

    |

  14. If a quadratic polynomial f(x) is a square of a linear polynomial, t...

    Text Solution

    |

  15. If a quadratic polynomial f(x) is not factorizable into linear fact...

    Text Solution

    |

  16. If graph of quadratic polynomial a x^2+b x+c cuts positive direction o...

    Text Solution

    |

  17. If the graph of quadratic polynomial a x^2+b x+c cuts negative directi...

    Text Solution

    |

  18. If alpha,\ beta are the zeros of the polynomial f(x)=x^2+x+1, then 1/a...

    Text Solution

    |

  19. If alpha,\ beta are the zeros of the polynomial p(x)=4x^2+3x+7 , then ...

    Text Solution

    |

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

    Text Solution

    |