Home
Class 12
MATHS
Assertion (A) : The remainder of x^(3)+2...

Assertion (A) : The remainder of `x^(3)+2x^(2)-5x-3` which is divided by `x-2` is 3.
Reason (R) : The remainder of the polynomial `f(x)` when divided by `x-a` is `f(a)`

A

Both A & R are true and R is correct explanation of A

B

Both A & R are true and R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - I|5 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

Similar Questions

Explore conceptually related problems

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

Find the remainder when 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

The remainder when 3x^3 + 2x - 6 is divided by (2x - 1).

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

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

The remainder when 3x^(3) + x^(2) + 2x + 5 is divided by x^(2) + 2x + 1 is ………….

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

If f(x) is divided by (x – a), then the remainder is

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx+d) then (1)/((ax+b)^(2)(cx+d)...

    Text Solution

    |

  2. If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(...

    Text Solution

    |

  3. If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, th...

    Text Solution

    |

  4. The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

    Text Solution

    |

  5. The coefficient of x^(n) in (x+1)/((x-1)^(2)(x-2)) is

    Text Solution

    |

  6. The number of partial fractions of (x^(3)-3x^(2)+3x)/((x-1)^(5)) is

    Text Solution

    |

  7. The number of partial fractions of (2)/(x^(4)+x^(2)+1) is

    Text Solution

    |

  8. If a(K)=(1)/(K(K+1)) for K=1, 2, 3....n, then (sum(K=1)^(n)a(K))^(2)=

    Text Solution

    |

  9. For |x| lt 1/5, the coefficient of x^(3) in the expansion of (1)/((1-...

    Text Solution

    |

  10. (3x^(2)+x+1)/(x-1)^(4)=a/(x-1)+b/(x-1)^(2)+c/(x-1)^(3)+d/(x-1)^(4) rAr...

    Text Solution

    |

  11. Statement-I : If (x^(2)+3x+1)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2...

    Text Solution

    |

  12. Statement-I : If (3x+4)/((x+1)^(2)(x-1))=(A)/(x-1)+(B)/(x+1)+(C)/((x...

    Text Solution

    |

  13. If (1)/((1+2x)(1-x^(2)))=(A)/(1+2x)+(B)/(1+x)+(C)/(1-x) then assending...

    Text Solution

    |

  14. (2x^(4)+3x^(2)+1)/((x^(2)+1)^(4))=(A)/((x^(2)+1))+(B)/((x^(2)+1^(2)))+...

    Text Solution

    |

  15. A : If (5x+1)/((x+2)(x-1))=A/(X+2)+B/(x-1) " then "A=3, B=2. R : (px...

    Text Solution

    |

  16. Assertion (A) : The remainder of x^(3)+2x^(2)-5x-3 which is divided by...

    Text Solution

    |

  17. Assertion (A) : If (1)/(x^(3)(x+2))=A/x + B/x^(2) +C/x^(3) + D/(x+2) t...

    Text Solution

    |

  18. If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...

    Text Solution

    |

  19. (1)/(x(x+1)(x+2).....(x+n))=(A(0))/(x)+(A(1))/(x+1)+...+(A(n))/(x+n) r...

    Text Solution

    |

  20. If 1/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)-x+1) " then "C+D...

    Text Solution

    |