Home
Class 10
MATHS
If alpha and beta are the zeros of the ...

If `alpha` and `beta` are the zeros of the polynomial `f(x)=x^2+p x+q ,` form a polynomial whose zeros are `(alpha+beta)^2` and `(alpha-beta)^2` .

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 alpha and beta are the zeros of the quadratic polynomial f(x)=2x^2-5x+7 , find a polynomial whose zeros are 2alpha+3beta and 3alpha+2beta .

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-2x+3, find a polynomial whose roots are alpha+2,beta+2 .

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-x-2, find a polynomial whose zeros are 2alpha+1 and 2beta+1.

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-1 , find a quadratic polynomial whose zeros are (2alpha)/beta and (2beta)/alpha .

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^2-4x+1 , find a quadratic polynomial whose zeros are (alpha^2)/beta and (beta^2)/alpha .

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-3x-2 , find a quadratic polynomial whose zeros are 1/(2alpha+beta) and 1/(2beta+alpha) .

If alpha,beta are zeroes of the polynomial x^2-2x-15 , then form a quadratic polynomial whose zeroes are (2alpha) and (2beta) .

If alpha and beta are the zeros of the quadratic polynomial f(x)=6x^2+x-2 , find the value of alpha/beta+beta/alpha .

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-x-4 , find the value of 1/alpha+1/beta-alphabeta .

If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p x+q , then find the values of (i)alpha^2+beta^2 (ii) 1/alpha+1/beta

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. Draw the graph of the polynomial f(x)=x^2-2x-8

    Text Solution

    |

  2. Draw the graph of the quadratic polynomial f(x)=3-2x-x^2

    Text Solution

    |

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

    Text Solution

    |

  4. Draw the graph of the polynomial f(x)=-4x^2+4x-1. Also find the vertex...

    Text Solution

    |

  5. If the sum of the zeros of the quadratic polynomial f(t)=k t^2+2t+3k i...

    Text Solution

    |

  6. Draw the graph of the polynomial f(x)=-3x^2+2x-1.

    Text Solution

    |

  7. Find the zeros of the quadratic polynomial x^2+7x+12 , and verify the ...

    Text Solution

    |

  8. Find the zeros of polynomial f(x) = 4sqrt3 x^2 + 5x - 2sqrt 3; and ver...

    Text Solution

    |

  9. If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p...

    Text Solution

    |

  10. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3−2x^2−10x−5, if ...

    Text Solution

    |

  11. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

    Text Solution

    |

  12. By applying division algorithm prove that the polynomial g(x)=x^2+3x+1...

    Text Solution

    |

  13. Find the condition that the zeroes of the polynomial f(x) = x^3 – px^2...

    Text Solution

    |

  14. Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given ...

    Text Solution

    |

  15. Draw the graph of the polynomial f(x)=x^2-6x+9.

    Text Solution

    |

  16. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-2...

    Text Solution

    |

  17. Draw the graph of the polynomial f(x)=x^3-4x .

    Text Solution

    |

  18. Draw the graph of the cubic polynomial f(x)=x^3-2x^2 .

    Text Solution

    |

  19. Draw the graph of the polynomial f(x)=x^3 .

    Text Solution

    |

  20. If each one of the following graphs is the graph of a polynomial, then...

    Text Solution

    |