find the value of k, if x-1 is a factor of p(x) in each of the following cases.
P(x) = 4x3 + 5k + kx+1
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x - 1 = 0
Therefore, x = 1
P(x) = 4x^3 + 5k + kx + 1
P(1) = 4 (1)^3 + 5k + k(1) + 1
4 + 5k + k + 1 = 0
5 + 6k = 0
6k = (-5)
Therefore, K = -(5/6)
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