dorothynagy1427 dorothynagy1427

25-10-2019
Mathematics

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

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jimrgrant1 jimrgrant1

25-10-2019

Answer:

k = 3

Step-by-step explanation:

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

p(x) = [tex]p^{4}[/tex] + p² + p - k, thus

p(1) = [tex]1^{4}[/tex] + 1² + 1 - k = 0, that is

1 + 1 + 1 - k = 0

3 - k = 0 ⇒ k = 3

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