Home
Class 14
MATHS
When (x^3-2x^2+px-q) is divided by (x^2-...

When `(x^3-2x^2+px-q)` is divided by `(x^2-2x-3)` the remainder is (x-6)The values of p and q are:

A

`p=-2, q=-6`

B

`p=2, q=-6`

C

`p=-2, q=6`

D

`p=2, q=6`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 13.2|22 Videos

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|32 Videos

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|32 Videos

  • DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|47 Videos

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

Similar Questions

Explore conceptually related problems

When (x^3 – 2x^2 + px - q) is divided by (x^2 - 2x - 3) , the remainder is (x – 6) . What are the values of p, q respectively ?

When p(x)=x^(3)-3x^(2)+4x+32 is divided by (x +2) , the remainder is

When p(x)=x^(3)+ax^(2)+2x+a is divided by (x+a) , the remainder is

When p(x)=x^(4)+2x^(3)-3x^(2)+x-1 is divided by (x-2) , the remainder is

When x^(4)-3x^(3)+4x^(2)+p is divided by (x-2) , the remainder is zero Find the value of p.

When x^(3)+3x^(2)+4x+a is divided by (x+2) , the remainder is zero . Find the value of a.

If the expression (px^(3)+x^(2)-2x-q) is divisible by (x-1)and(x+1) , what are the values of p and q respectively?

If the polynomial 8x^(4)+14x^(3)-2x^(2)+px+q is exactly divisible by 4x^(2)+3x-2 , then the values of p and q respectively are

The remainder when x^(3)-2x^(2) is divided by x^(2) is

ARIHANT SSC-ELEMENTS OF ALGEBRA-INTRODUCTORY EXERCISE - 13.1
  1. If 5x^3+5x^2-6x+9 is divided by (x+3) then the remainder is:

    Text Solution

    |

  2. If f(x) is divided by (2x+3), then the remainder is :

    Text Solution

    |

  3. When (x^3-2x^2+px-q) is divided by (x^2-2x-3) the remainder is (x-6)Th...

    Text Solution

    |

  4. If (x-2) is a factor of (x^(2)+3qx-2q), then the value of q is :

    Text Solution

    |

  5. Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k.

    Text Solution

    |

  6. Which one of the following is a factor of x^4-5x^3+5x^2-10x+24?

    Text Solution

    |

  7. If (x+k) is a common factor of (x^(2)+px+q) are (x^(2)+lx+m), then the...

    Text Solution

    |

  8. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is 0 (b)...

    Text Solution

    |

  9. (x^(29)-x^(25)+x^(13)-1) is divisible by :

    Text Solution

    |

  10. One of the factors of 3x^(3)+x^(2)-12x-4 is :

    Text Solution

    |

  11. If (x^(100)+2x^(99)+k) is divisible by ( x+1 ) then the value of...

    Text Solution

    |

  12. If (x-1) is a factor of (x^(3)-m), then the value of m is :

    Text Solution

    |

  13. If the polynomial f(x) is such that f(-3)=0, then a factor of f(x) is ...

    Text Solution

    |

  14. If x+1/x=2 then x^2+1/x^2 is equal to

    Text Solution

    |

  15. If (x-(1)/(x))=4, then the value of (x^(2)+(1)/(x^(2))) is :

    Text Solution

    |

  16. If (x+(1)/(x))=2sqrt3, then the value of (x^(3)-(1)/(x^(3))) is :

    Text Solution

    |

  17. If (x+(1)/(x))=3, then the value of (x^(3)+(1)/(x^(3))) is equal to :

    Text Solution

    |

  18. If (x+(1)/(x))=2, then the value of (x^(6)+(1)/(x^(6))) is :

    Text Solution

    |

  19. If (x^(2)+(1)/(x^(2)))=6, then the value of (x+(1)/(x)) is :

    Text Solution

    |

  20. if x^3-1/x^3=36 then find the value of x-1/x

    Text Solution

    |