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[tex]x^{5024}+x^{1004}+1[/tex]

my first thought is that since this polynomial doesn't have real roots such a factorization isn't even possible, but i really don't have any more clever idea how to factor this one.

- Thread starter sutupidmath
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[tex]x^{5024}+x^{1004}+1[/tex]

my first thought is that since this polynomial doesn't have real roots such a factorization isn't even possible, but i really don't have any more clever idea how to factor this one.

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[tex] x^n+x^m+1[/tex] where both n,m are even integers cannot be factored over the integers. That is cannot be written, say as a product of two polynomials with integer coefficients?

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