Home
Class 12
MATHS
The value of k so that x^4 -4x^3 +5...

The value of k so that ` x^4 -4x^3 +5x^2 -2x +k` is divisible by ` x^2 -2x +2 ` is

A

0

B

`-2`

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-II|54 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos
  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

The value of k so that x^4 -3x^3 +5x^2 -33 x +k is divisible by x^2 -5x +6 is

The value of k so that 3x^(4) + 4x^(3) + 2x^(2) + 10x + k is divisible by x + 2 is

The value of b so that x^(4) - 3x^(3) + 5x^(2) - 33x + b is divisible by x^(2) - 5x + 6 is

The remainder when x^(5) - 2x^(4) + 4x^(3) + 3x^(2) + 5x - 7 is divided by x - 1 is

If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

The remainder when 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 is divided by x - 2 is

If -1 +i is a root of x^4 + 4x^3 + 5x^2 + k=0 then its real roots are

Find the value of K, if 2x-3 Is a factor of 2x^3-9x^2 +x+K .

Assertion (A ) : the equation whose roos are multipled of by 2 of those of x^5 - 2x^4 +3x^3 -2x^2 +4x +3=0 is x^5 - 4x^4 +12 x^3 -16 x^2 +64 x+96=0 Reason (R ) : the equation whose roots are muliplied by k of those of f(x ) =0 is f((x )/(k ))=0

If the polynomial x^(4) - 6x^(3)-16 x^(2) + 25 x + 10 is divided by another polynomial x^(2) - 2x +k , the remainder comes out to be x+a , find k and a.

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
  1. The quotient obtained when 3x^4 -x^3 +2x^2 -2x -4 is divided by ...

    Text Solution

    |

  2. The value of k so that x^4 -4x^3 +5x^2 -2x +k is divisible by ...

    Text Solution

    |

  3. The equation whose roots are 1,2 +- 3i is

    Text Solution

    |

  4. The polynomial equation of the lowest degree having roots 1 , ...

    Text Solution

    |

  5. The equation of lowest degree with rational coefficient having ...

    Text Solution

    |

  6. If one root of x^3 -6x^2 +3x +10 =0 is 2 then the remaining t...

    Text Solution

    |

  7. If one root of 10 x^3 -x^2 - 278 x + 165=0 is 5 then product ...

    Text Solution

    |

  8. If the product of two of the roots of x^3 +kx ^2 -3x+4=0 is -1 ...

    Text Solution

    |

  9. The condition for one root of x^3+ax^2+bx+c=0 is sum of the ot...

    Text Solution

    |

  10. If one of the roots of 18x^3 + 81x^2 + 121 x+60=0 is equal to ...

    Text Solution

    |

  11. If the roots of the equation x^3 -9x^2 + 23x-15=0 are in A.P t...

    Text Solution

    |

  12. If the roots of 24x^3 - 26 x^2 + 9x -1=0 are in H.P then the ...

    Text Solution

    |

  13. If alpha , beta , gamma are the roots of x^3 -3ax^2 +3 bx -c=0...

    Text Solution

    |

  14. If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

    Text Solution

    |

  15. If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...

    Text Solution

    |

  16. If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...

    Text Solution

    |

  17. If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then...

    Text Solution

    |

  18. If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...

    Text Solution

    |

  19. The roots of x^3 - 13x^2 +39 x-27=0 are in

    Text Solution

    |

  20. If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...

    Text Solution

    |