Home
Class 12
MATHS
If x+1 is a factor of x^(4) +(p - 3)x^(3...

If x+1 is a factor of `x^(4) +(p - 3)x^(3) - (3p-5)x^(2) + (2p-9)x +6`, then the value of p is

A

-4

B

0

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

p(x) = x^(2)-5x-6 , find the value of p(3) .

p(x) = x^(2)-5x-6 , find the value of p(-3) .

p(x) = x^(2)-5x-6 , find the value of p(1)

p(x) = x^(2)-5x-6 , find the value of p(-1) .

p(x) = x^(2)-5x-6 , find the value of p(2)

p(x) = x^(2)-5x-6 , find the value of p(-2) .

If p(x) = x^(2) - 5x -6 , find the value of p(3).

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

IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

p(x) = 3x^(3) - 2x^(2) + 6x - 5 then p(2) = ………………

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. If 8 and 2 are the roots of x^2 + ax + beta = 0 and 3,3 are...

    Text Solution

    |

  2. IF k gt 0 and the product of the roots of the equation x^2 - 3kx...

    Text Solution

    |

  3. If x+1 is a factor of x^(4) +(p - 3)x^(3) - (3p-5)x^(2) + (2p-9)x +6, ...

    Text Solution

    |

  4. If sin theta, cos theta are the roots of 6x^(2)-px+1=0, then p^(2) =

    Text Solution

    |

  5. Which of the following statements are correct E(1)) If a + b + c = 0...

    Text Solution

    |

  6. IF alpha , beta are the roots of the equation ax^2+ bx +c=0the...

    Text Solution

    |

  7. If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic e...

    Text Solution

    |

  8. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

    Text Solution

    |

  9. If alpha, beta are the roots of x^(2)+2x-1=0, then the equation whose ...

    Text Solution

    |

  10. If alpha, beta are the roots of x^(2)+6x+9=0, then the equation whose ...

    Text Solution

    |

  11. The equation whose roots are 'K' times the roots of the equation ax^(2...

    Text Solution

    |

  12. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

    Text Solution

    |

  13. If alpha, beta are the roots of x^(2)+2x+5=0, then the equation whose ...

    Text Solution

    |

  14. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  15. If one root of x^(2)+kx+27=0 may be triple the other, then k=

    Text Solution

    |

  16. If one root of x^2+px+1=0 is square that of the other thenp=

    Text Solution

    |

  17. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

    Text Solution

    |

  18. The quadratic equation with rational coefficients whose one root is 3+...

    Text Solution

    |

  19. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

    Text Solution

    |

  20. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

    Text Solution

    |