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Find the remainder when x^(33) is divide...

Find the remainder when `x^(33)` is divided by `x^(2)-3x-4`.

A

`((4^(33)-1)/(5))x+((4^(33)-4)/(5))`

B

`((4^(33)+1)/(5))x+((4^(33)-4)/(5))`

C

`((4^(33)-1)/(5))x+((4^(33)+4)/(5))`

D

`((4^(33)-4)/(5))x+((4^(33)-4)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Find the remainder when x^(5) is divided by x^(2)-9 .

    A
    81x
    B
    `81 x+10`
    C
    `3^(5)x+34`
    D
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  • Find the remainder is : When x^(51) is divided by x^(2)-3x+2 .

    A
    x
    B
    `(2^(51)-2)x=2-2^(51)`
    C
    `(2^(51)-1)x+2-2^(51)`
    D
    0
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