Home
Class 10
MATHS
Mention the following with respect to th...

Mention the following with respect to the cubic polynomial `ax^(3) + bx^(2) ` + cx + d
(a) Sum of the zeroes
(b) Sum of the product of the zeroes, taken two at a time .

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 9.4|5 Videos
  • PRACTICE QUESTION PAPER 12

    CPC CAMBRIDGE PUBLICATION|Exercise ANSWER THE FOLLOWING QUESTION|32 Videos

Similar Questions

Explore conceptually related problems

If two of the zeros of a cubic polynomial ax^(3) + bx^(2) + cx + d are each equal to zero, find the third zero. What can you say of c and d ?

The sum of the products of the ten numbers : +-1,+-2,+-3,+-4,+-5 , taking two at a time, is :

Find the zeroes of the polynomial p(y)=y^(3)-5y^(2)-2y+24 if it is given that Sum of the two zeros is 7

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

If the zeroes of the polynomial x^3-3x^2+x+1 are a - b, a, a + b , find a and b .

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.

What is the quadratic polynomial the sum of whose zeroes id (-3)/(2) and the product of the zeroes is -1

CPC CAMBRIDGE PUBLICATION-PRACTICE QUESTION PAPER -QUESTIONS
  1. The sum of n natural numbers is 325 . Find n.

    Text Solution

    |

  2. If every square similar to every Rectangle ? Why ?

    Text Solution

    |

  3. Find the HCF of 105 and 1515 by prime factorization method.

    Text Solution

    |

  4. If sintheta - (4)/(5) and Cos theta = (3)/(5) find the value of Sin^(2...

    Text Solution

    |

  5. Find the value of 4 sin^(2) 60 + 3 tan^(2) 30 - 8 sin 45.cos 45

    Text Solution

    |

  6. Find the vaolume of the hemisphere of radius 21 cm.

    Text Solution

    |

  7. Prove that sqrt(2) + sqrt(3) is an irrational number.

    Text Solution

    |

  8. Prove that the area of the euilateral traingle described on the side o...

    Text Solution

    |

  9. Mention the following with respect to the cubic polynomial ax^(3) + bx...

    Text Solution

    |

  10. Draw a circle of radius 4 cm and construct a pair of langents to the c...

    Text Solution

    |

  11. If alpha and beta are the zeroes of the polynomial f(x) = 3x^(2)+5x+7 ...

    Text Solution

    |

  12. Find the maximum valume of a cone that can be carved out of a solid h...

    Text Solution

    |

  13. A fraction becomes (8)/(11) if 3 is added to both the numerator and t...

    Text Solution

    |

  14. Find two consecutive positive integers , sum of whose squares is 365.

    Text Solution

    |

  15. Prove that the tangent at any point of a circle is perpendicular to th...

    Text Solution

    |

  16. Solve graphically : 5x+y=7 and 2x-2y=2

    Text Solution

    |

  17. The sum of first n terms of an arithmetic progression is 210 and sum o...

    Text Solution

    |

  18. The sum of the first three terms of an A.P is 33 . If the product of t...

    Text Solution

    |

  19. The angle of elevation of the top of an unfinished verticle building o...

    Text Solution

    |

  20. A cone of radius 10 cm is cut into two parts by a plane through the mi...

    Text Solution

    |