carterhughes2001 carterhughes2001
  • 03-05-2019
  • Mathematics
contestada

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

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r3t40
r3t40 r3t40
  • 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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