3 years ago

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

Mathematics

2 answers:

nikdorinn [45]3 years ago

7 0

Answer:

k=3

Step-by-step explanation:

Hello, if p-1 is a factor of

$f(p)=p^4+p^2+p-k$

it means that f(1)=0, so

1+1+1-k=0

3-k=0

k=3

thank you

hoa [83]3 years ago

3 0

$1^4+1^2+1-k=0\\3-k=0\\k=3$

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