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If (f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1...

If `(f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1) (x^(4) +x ^(2) +1) =0`
`AA x in R -{0}and f (x) ne pm 1,` then which of the following statement (s) is/are correct ?

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