Home
Class 10
MATHS
Find a cubic polynomial with sum, sum of...

Find a cubic polynomial with sum, sum of product of its zeros taken two at a time, and product of its zeros being 3,-1, and -3 respectively.

Text Solution

Verified by Experts

The correct Answer is:
`:. alpha beta gamma = - (d)/(a)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Long answer [LA] type questions )|13 Videos
  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Higher order thinking skills [HOTS])|10 Videos
  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type I questions )|27 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos
  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.

Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively.

Find a quadratic polynomial whose sum and product of zeros are respectively -2 sqrt(3) and -9

Find a quadratic polynomial with zeroes -2 and 1/3 .

The quadratic polynomial whose sum of zeros is 3 and product of zeros is -2 is

Find a quadratic polynominal each with the given numbers as the sum and product of its zeroes respectively. sqrt(2),1/3

ZEN PUBLICATION-POLYNOMIALS-ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type II questions )
  1. Find a quadratic polynomial whose sum and product, respectively, of ze...

    Text Solution

    |

  2. If alpha and beta are zeros of f(x) = 6x^(2) + x= 2 find the value fo...

    Text Solution

    |

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

    Text Solution

    |

  4. Find a cubic polynomial with sum, sum of product of its zeros taken t...

    Text Solution

    |

  5. If zeros of a polynomial f(x) = ax^(3) + 3bx^(2) + 3cx + d are in AP...

    Text Solution

    |

  6. If f(x) = x^(3) + x^(2) - ax + b is divisible by x^(2) - x, find value...

    Text Solution

    |

  7. If two of the zeros of a cubic polynomial ax^(3) + bx^(2) + cx + d are...

    Text Solution

    |

  8. If alpha and beta are zeros of the quadratic polynomial x^(2) - (k+6) ...

    Text Solution

    |

  9. If 1 is one of the zeros of the polynomial 7x- x^(3) - 6, find its oth...

    Text Solution

    |

  10. If zeros of x^(3) - 3x^(2) + x+ 1 are a-b, a,a+b, find a and b.

    Text Solution

    |

  11. Find the other two zeroes of the polynomial y^(4)+y^(3)-9y^(2)-3y+18 i...

    Text Solution

    |

  12. If one of the zeros of x^(3) + ax^(2) + bx + c is (-1) ,find the pr...

    Text Solution

    |

  13. If a and b are the zeros of the quadratic polynomial f(x) = kx^(2) + 4...

    Text Solution

    |

  14. Obtain the zeros of the quadratic polynomial sqrt(3) x^(2)- 8x + 4 sqr...

    Text Solution

    |

  15. Find a quadratic polynomial whose zeros are 1 and -3 . Verify the rela...

    Text Solution

    |

  16. What real number should to subtracted from the polynomial 3x^(3) + 10x...

    Text Solution

    |

  17. If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^...

    Text Solution

    |