Question

If p − 1 is a factor of p4 + p2 + p − k, the value of k is .

Answer 1

Answer:

3

Step-by-step explanation:

Since (p - 1) is a factor then p = 1 is a root and p(1) = 0

p(1) = $1^{4}$ + 1² + 1 - k = 0, that is

3 - k = 0 ⇒k = 3