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Factoring Question

X^6-x^3-6 is the question.

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Jose S. | Friendly Mathematics, Philosophy, and Computer Science tutorFriendly Mathematics, Philosophy, and Co...
Whenever you have exponents that are multiples of each other consider using substitution as follows:
Let u = x^3, then u^2=x^6, and your expression becomes: u^2-u-6.  The quadratic should be straightfoward to factor(though if you need help feel free to ask), and after you factor it you can substiute x back in.
Hope this helps.