If p-1 is a factor of p^4-p^2-p-k, the value of k is
Mathematics · College · Sun Jan 24 2021
Answered on
Given:
p - 1
p = 1
Determine the value of k from the equation:
p^4 - p^2 - p - k
Solution:
In order to determine the value of k, we simply need to substitute 1 to each value of p.
= p^4 - p^2 - p - k
=(1)^4 - (1)^2 - (1) - k
= 1 - 1 - 1 - k
= -1 - k
Transpose -k to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
k = -1
Final answer:
k = -1