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The remainder obtained when the polynomi...

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

A

3

B

5

C

7

D

11

Text Solution

Verified by Experts

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

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Knowledge Check

  • 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

  • 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

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    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)

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

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

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

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