ehhhhhhhlol ehhhhhhhlol
  • 18-02-2022
  • Mathematics
contestada

Show that p – 1 is a factor of p10 + p8 + p6 – p4 – p2 – 1.

Respuesta :

jimrgrant1 jimrgrant1
  • 18-02-2022

Answer:

see explanation

Step-by-step explanation:

If (p - 1) is a factor of f(p) then p(1) = 0

p(1) = [tex]1^{10}[/tex] + [tex]1^{8}[/tex] + [tex]1^{6}[/tex] - [tex]1^{4}[/tex] - 1² - 1 = 1 + 1 + 1 - 1 - 1 - 1 = 0

Then (p - 1) is a factor of the polynomial

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