Home
Class 10
MATHS
If alphaa n dbeta are the zeros of the ...

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

Text Solution

Verified by Experts

Given
`f(x)=x^2−2x+3` have zeroes `alpha,beta`
so,`alpha+beta=2`
=`alpha beta=3 `
...
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 alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-2, find a polynomial whose zeros are 2 alpha+1 and 2 beta+1.

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

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are alpha^(2) and beta^(2)

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

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

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)/(2 alpha+beta) and (1)/(2 beta+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)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=3x^(2)-4x+1, find 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)=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) = 3x^2 - 7x - 6 , find a polynomial whose zeros are (i) alpha^(2) and beta^(2) , (ii) 2alpha + 3beta and 3alpha + 2beta .

RD SHARMA-POLYNOMIAL-All Questions
  1. Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given ...

    Text Solution

    |

  2. Draw the graph of the polynomial f(x)=x2-6x=9.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The graphs of y=a x^2+b x+c are given in Fig. Identify the signs of ...

    Text Solution

    |

  9. Find the zeros of the quadratic polynomial f(x)=6x^2-3 , and verify th...

    Text Solution

    |

  10. Find the zeros of the polynomial f(u)=4u^2+8u , and verify the relatio...

    Text Solution

    |

  11. Find a quadratic polynomial each with the given numbers as the sum and...

    Text Solution

    |

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

    Text Solution

    |

  13. If alpha and beta are the zeros of the quadratic polynomial f(x)=3x...

    Text Solution

    |

  14. Find the zeros of polynomial f(x)=x^2-2x-8 and verify the relationship...

    Text Solution

    |

  15. Find the zeros of polynomial g(s)=4s^2-4s+1 and verify the relationshi...

    Text Solution

    |

  16. Find the zeros of polynomial h(t)=t^2-15 and verify the relationship ...

    Text Solution

    |

  17. Find the zeros of polynomial 6x^2-3-7x and verify the relationship ...

    Text Solution

    |

  18. Find the zeros of polynomial p(x)=x^2+2sqrt(2)x-6 and verify the relat...

    Text Solution

    |

  19. Find the zeros of polynomial q(x)=sqrt(3)x^2+10 x+7sqrt(3) and verify ...

    Text Solution

    |

  20. Find the zeros of polynomial f(x)=x^2-(sqrt(3)+1)x+sqrt(3) and verify ...

    Text Solution

    |