The remainder obtained when the polynomi...

The remainder obtained when the polynomial `x^(4)-3x^(3)+9x^(2)-27x+81` is divided by x-3 is

A

81

B

243

C

405

D

18

Text Solution

Verified by Experts

The correct Answer is:

A

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

PARTIAL FRACTIONS
AAKASH SERIES|Exercise EXERCISE - II|42 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

Assertion (A) : The Remainder obtained when the polynomial x^(64)+x^(27)+1 is divided by x+1 is 1 Reason (R) : If f(x) is divided by x-a then the remainder is f(a)

The remainder obtained when the polynominal 1+x+x^(3)+x^(9)+x^(27)+x^(81)+x^(243) is divided by x-1 is

Knowledge Check

The remainder obtained when the polynomial x^(3)-3x^(2)+2x-3 is divided by x-2 is

A

3

B

-3

C

4

D

-4

I : The remainder obtained when the polynomial 1+x+x^(3)+x^(9)+x^(27)+x^(81)+x^(243) is divided by x-1 is 7. II : The remainder obtained when the polynomial x^(64)+x^(27)+1 is divided by x+1 is 1.

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

The remainder obtained when the polynominal x^(64)+x^(27)+1 is divided by x+1 is

A

1

B

-1

C

2

D

-2

Similar Questions

Explore conceptually related problems

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1

If the remainders obtained when a polynomial f(x) is divided with x, x-1, x+1 respectively are 1, -2, 3 then find the remainder when f(x) is divided with x^(3)-x ?

The quotient when x^(4)+ x^(3) + x^(2) - 2x - 3 is divided by x^(2) -2 is ……………….

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

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

AAKASH SERIES-PARTIAL FRACTIONS-PRACTICE EXERCISE

The remainder obtained when the polynomial x^(4)-3x^(3)+9x^(2)-27x+81 ...
02:08
|
If the remainder of the polynomial f(x) when divided by x+1 and x-1 ar...
05:23
|
If (3x+4)/(x^(2)-3x+2)=A/(x-2)-B/(x-1) then (A, B) =
03:16
|
If (1-x+6x^(2))/(x-x^(3))=A/x +(B)/(1-x)+(C)/(1+x), then A=
03:04
|
If (x^(2)+5)/(x^(2)+2)^(2)=1/(x^(2)+2)+k/(x^(2)+2)^(2) " then " k=
01:24
|
If (x+1)/((x-a)(x-3))=2/(x-a)+b/(x-3), " then "(a, b)=
02:22
|
(2x-1)/((x-1)(2x+3))=1/(5(x-1))-k/(5(2x+3)), then k =
03:21
|
If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=A/(x-1)+B/(x-2)+C/(x-3), then C ...
03:43
|
if (5x^(2) +2)/(x^(3)+x)=(A(1))/(x)+(A(2)x+A(3))/(x^(2)+1), then (A(...
01:51
|
If (x^(3))/((x-a)(x-b)(x-c))=1 +(A)/(x-a)+(B)/(x-b)+(C)/(x-c) then A=
02:52
|
If (x^(4))/((x-1)(x-2))=x^(2)+3x+7+(A)/(x-2)+(B)/(x-1) then A=
02:15
|
((x+1))/((2x-1)(3x+1))=A/((2x-1))+B/((3x+1)) rArr 16A+9B=
04:40
|
If (x^(2)+1)/((x^(2)+2)(x^(2)+3))=(A)/(x^(2)+3)+(B)/(x^(2)+2) then (A,...
03:47
|
If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(x+1)^(2) then A - B =
03:22
|
If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B...
03:27
|
Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...
06:05
|
If (2x^(2)+5)/((x+1)^(2)(x-3))=(A)/(x+1)+(B)/((x+1)^(2))+(C)(x-3) then...
Text Solution
|
The partial fractions of (1)/(x^(2)(x+2)) are
Text Solution
|
If (x^(4))/((x-1)(x-2)(x-3))= A.x+B. (1)/((x-1))+C (1)/((x-2))+D. (1)/...
Text Solution
|
If (2x^(2)+3x+4)/((x-1)(x^(2)+2))=A/(x-1)+(Bx+C)/(x^(2)+2), " then "B=
03:21
|