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Discussion Response Post to:
f(x^n) is divisible by (x-1)...what is it also divisible by?
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5 Feb 2008 12:04:29 IST
Subject:
Re:f(x^n) is divisible by (x-1)...what is it also divisible by?
akhil_o
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Blazing goIITian
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Heres the solution...
f(1
n
)=0 by factor theorem
putting x
n
=y
f(x
n
)=f(y) with f(1)=0
=> y-1 is a factor of f(y)
=> (x
n
-1)is a factor of f(x
n
)
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