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11 March, 09:14

P (x) = x^4-2x^3+kx-4 where k is an unknown integer

p (x) divided by (x-1) has a remainder of 0 what is the value of k?

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  1. 11 March, 09:16
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    k = 5.

    Step-by-step explanation:

    By the Factor Theorem if p (x) is divisible by x - 1 then p (1) = 0. So:

    1^4 - 2*1^3 + k*1 - 4 = 0

    1 - 2 + k - 4 = 0

    k = 4 - 1 + 2

    k = 5 (answer).
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