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The value of k so that x^4 -3x^3 ...

The value of k so that ` x^4 -3x^3 +5x^2 -33 x +k` is divisible by ` x^2 -5x +6 ` is

A

45

B

48

C

51

D

54

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The value of b so that x^(4) - 3x^(3) + 5x^(2) - 33x + b is divisible by x^(2) - 5x + 6 is

    A
    45
    B
    48
    C
    51
    D
    54

  • The value of k so that 3x^(4) + 4x^(3) + 2x^(2) + 10x + k is divisible by x + 2 is

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    2
    B
    `-2`
    C
    4
    D
    `-4`

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

    A
    10
    B
    20
    C
    30
    D
    40

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