Home
Class 9
MATHS
If (x^(2)-2) be a factor of the polynomi...

If `(x^(2)-2)` be a factor of the polynomial `(ax^(3)-bx^(2)-4)`, find the values of a and b.

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|36 Videos

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos

  • PROBABILITY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2|16 Videos

Similar Questions

Explore conceptually related problems

If (x - 1) and (x - 3) be two factors of the polynomial (x^(3)-3x^(2)+2ax-b) , find the values of a and b.

If (x - 3) be a factor of the polynomial (k^(2)x^(3)-kx^(2)+3kx-k) , then find the value of k.

If (x + 2y) be a factor of the polynomial (x^(2)+4xy+4y^(2)) , find the other factor.

The number of factors of the polynomial (x^(2)+bx+c) is

If m, n be natural numbers and (x^(2)-n) be a factor of the polynomial (ax^(2m)+bx^(2m+1)-1) , then prove that a=(1/n)^(m)andb=0 .

If (x^(2)+r) be a factor of the polynomial f(x)=x^(3)-rx^(2)+rx-r^(2) , then the other factor is

If (x + a) be one of the factors of the polynomial x^(3)+ax^(2)-2x+a-12 , then find the value of a.

If (x + 1) and (x + 2) be any two factors of the polynomial (x^(3)+3x^(2)+2ax+b) , then determine the value of a and b.

If (x^(2)-1) be a factor of the polynomial f(x)=ax^(4)+bx^(3)+cx^(2)+dx+e , then which of the followings is true ?

If 0 and 1 are the zeroes of the polynomial f (x) = 2x ^(3) - 3x ^(2) + ax +b, then find the values of a and b.

CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
  1. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

    Text Solution

    |

  2. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

    Text Solution

    |

  3. If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4), find the...

    Text Solution

    |

  4. If m, n be natural numbers and (x^(2)-n) be a factor of the polynomial...

    Text Solution

    |

  5. If (x - 1) and (x - 3) be two factors of the polynomial (x^(3)-3x^(2)+...

    Text Solution

    |

  6. If x+a is a factor of x^2+px+q and x^2+mx+n, show that a= (n-q)/(m-p)...

    Text Solution

    |

  7. If the polynomial (ax^(3)+bx^(2)-x+6) be divided by (x + 2), the remai...

    Text Solution

    |

  8. If the polynomial (ax^(p)+bx^(q)-3) be divided by (x - a) and (x - b),...

    Text Solution

    |

  9. Prove that the polynomial (x^(10)-y^(10)) is divisible by (x + y).

    Text Solution

    |

  10. Prove that the polynomial (x^(99)-y^(99)) is not divisible by (x + y).

    Text Solution

    |

  11. Prove that the polynomial (x^(100)-a^(100)) is divisible by (x + a), b...

    Text Solution

    |

  12. Prove that the polynomial (x^(81)-2^(81)) is not divisible by (x + 2),...

    Text Solution

    |

  13. Show that the polynomial (x^(70)+1) is not divisible by (x - 1)

    Text Solution

    |

  14. Show that the polynomial (x^(71)+1) is not divisible by (x - 1), but i...

    Text Solution

    |

  15. Prove that the polynomial (x^(-17)+1) is not divisible by (x - 1), but...

    Text Solution

    |

  16. Prove that the polynomial (x^(-19)+y^(-19)) is not divisible by (x - y...

    Text Solution

    |

  17. If (x + p) be a common factor of both the polynomials (x^(2)+ax+b)and(...

    Text Solution

    |

  18. What is the condition that the polynomial {x^(2)+(p+q)x+r} is divisibl...

    Text Solution

    |

  19. Determine the condition for which the polynomial x^(3)+(p-q)x+r is div...

    Text Solution

    |

  20. Determine the relation between c and d if (x - 2) and (x-1/2) be the t...

    Text Solution

    |