SOLUTION: Is 2 the least integral upper bound of the roots of x^6 + x^4 = 1? Explain your answer.

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Question 933560: Is 2 the least integral upper bound of the roots of x^6 + x^4 = 1? Explain your answer.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, if you divide x%5E6%2Bx%5E4-1 by x-2 you do get only positive coefficients as required by the upper bound theorem.
However if you divide x%5E6%2Bx%5E4-1 by x-1 you also get only positive coefficients as required by the upper bound theorem.
So x=1 is the least integral upper bound for the equation.
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graph%28300%2C300%2C-3%2C3%2C-3%2C3%2Cx%5E6%2Bx%5E4-1%29