Home
Class 10
MATHS
If the sum of zeroes of the polynomial p...

If the sum of zeroes of the polynomial `p(x)= (a-1)x^(2)+(2a-6)x+(3a-18)" is "-1`, find the product of its zeroes.

Text Solution

Verified by Experts

The correct Answer is:
`-(3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|33 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS (State whether each of the following statements is true or false:) |5 Videos

Similar Questions

Explore conceptually related problems

Find zero of the polynomial p (x) = 3x +1

Find zero of the polynomial 2x -1.

If the product of the zeroes of the polynomial p(x)= ax^(2)+11x+12 is 6, find the value of a.

Find the zeroes of the given polynomials. p(x)=3x

Find the zeroes of the given polynomials. p(x)=x^(2)+5x+6

Find the zeroes of the given polynomials. p(x)=x^(4)-16

Find a zero of the of polynomial p(x) = 2x + 1.

Find the zeroes of the given polynomials. p(x)=(x+2)(x+3)

Why are 1/4 and -1 zeroes of the polynomials p(x)=4x^(2)+3x-1 ?

If 2 is a zero of the polynomial p (x) = 2x ^(2) - 3x + 7a, then find the value of a.

KUMAR PRAKASHAN-POLYNOMIALS-PRACTICE THOROUGHLY
  1. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

  2. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

  3. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

  4. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

  5. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

  6. Find the zeroes of the following quadratic polynomials by factorisatio...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If alpha" and "beta are the zeroes of the polynomial p(x)= 9x^(2)+9x+2...

    Text Solution

    |

  14. Form a quadratic polynomial whose zeroes are 7+sqrt(5)" and "7- sqrt(5...

    Text Solution

    |

  15. If the sum of zeroes of the polynomial p(x)= (a-1)x^(2)+(2a-6)x+(3a-18...

    Text Solution

    |

  16. If the zeroes of the polynomial x^(2)+px+q are double in the value of ...

    Text Solution

    |

  17. Obtain all the zeroes of 6x^(3)-17x^(2)+15x-4 given that one of its ze...

    Text Solution

    |

  18. Check whether x^(2)+2x+2 is a factor of x^(4)-x^(3)-3x^(2)-4x+2 or not...

    Text Solution

    |

  19. What must be subtracted from the polynomial p(x)= x^(3)+13x^(2)+35x+50...

    Text Solution

    |

  20. Find all the zeroes of the polynomial 3x^(4)-15x^(3)+17x^(2)+5x-6 if t...

    Text Solution

    |