If p-1 is a factor of p^4+p^2+p-k, the value of k is

k = 3.

Step-by-step explanation:

By the factor theorem if p - 1 is a factor the f(1) = 0.

So  f(1) =  (1)^4+1^2+1-k = 0

1 + 1 + 1 - k = 0

3 = k.

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