Question

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

Answer 1

k = 3.

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.