Home
Class 12
MATHS
If f(x) =5x^3 +4x^2 - 13 x-25 and f(...

If `f(x) =5x^3 +4x^2 - 13 x-25` and ` f(x-3) = 5x^3 - 41 x^2 + 98 x + k ` then ` k=`

A

85

B

`-85`

C

`105`

D

`-105`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-I|47 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

If f(x) = 2x^(4) + 5x^(3) -7x^(2) - 4x + 3 then f(x -1) =

f(x) = x^(2) -5x + 6 in [-3, 8]

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

If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in f(x +1) is

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

If f(x) = (3x+2)/(5x-3) , then

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

If f (x) = (x^(2) - 10 x + 25)/( x^(2) - 7x + 10) and f is continuous at x =5, then f (5) is equal to

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. sum (1)/(alpha^2 beta^2)

    Text Solution

    |

  2. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

    Text Solution

    |

  3. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

    Text Solution

    |

  4. The equation whose roots exceed by 2 than the roots of 4x^4 ...

    Text Solution

    |

  5. Find the polynomial equation whose roots are the squares of the roots ...

    Text Solution

    |

  6. Form the polynomial equation whose roots are cubes of the roots of x^...

    Text Solution

    |

  7. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

    Text Solution

    |

  8. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

    Text Solution

    |

  9. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

    Text Solution

    |

  10. If alpha , beta , gamma are the roots of the equation x^3 +px...

    Text Solution

    |

  11. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

    Text Solution

    |

  12. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

    Text Solution

    |

  13. The transformed equation x^3 -5/2 x^2 -(7)/(18 ) x+(1)/( 108 )...

    Text Solution

    |

  14. The transformed equation with integer co-effcients whose roots ...

    Text Solution

    |

  15. If the equation whose roots are p times the roots of x^4 +2x^...

    Text Solution

    |

  16. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

    Text Solution

    |

  17. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

    Text Solution

    |

  18. Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root ...

    Text Solution

    |

  19. Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-...

    Text Solution

    |

  20. Assertion (A ) : the number of roots of x^4 +2x^3 -7x^2 -8x +12=...

    Text Solution

    |