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03-05-2019
Mathematics

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if p-1 is a factor of p⁴ + p² + p − k solve for k

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03-05-2019

[tex]p-1=p^4+p^2+p-k[/tex]

[tex]-1=p^4+p^2-k[/tex]

[tex]\boxed{k=p^4+p^2+1}\Longrightarrow\boxed{p\in\mathbb{R}}[/tex]

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