gaverell005 gaverell005

11-08-2020
Mathematics

contestada

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

Respuesta :

konrad509 konrad509

11-08-2020

[tex]1^4+1^2+1-k=0\\3-k=0\\k=3[/tex]

Answer Link

Alfpfeu Alfpfeu

11-08-2020

Answer:

k=3

Step-by-step explanation:

Hello, if p-1 is a factor of

[tex]f(p)=p^4+p^2+p-k[/tex]

it means that f(1)=0, so

1+1+1-k=0

3-k=0

k=3

thank you

Answer Link

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