Posted by pranjal on Sunday, July 8, 2012 at 9:51am.
letting u = x^3, you have
8u^2 + 95u + 1
= 1/32 (16u+95-23√17)(16u+95+23√17)
= 1/32 (16x^3+95-23√17)(16x^3+95+23V17)
good luck going further than that!
wolframalpha . com shows the final answer
another factorization is
(2x^2 + 5x + 1)(4x^4 - 10x^3 + 23x^2 - 5x + 1)
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