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How can I quickly factorize an equation without using Ruffini's rule or polynomial division?

Take this equation as an example:

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migrated from Oct 28 '13 at 19:08

This question came from our site for users of Mathematica.

possible duplicate of Factoring polynomials to factors involving complex coefficients – Artes Oct 28 '13 at 18:21
Make the substitution $x^2=\eta$, then you have a quadratic. – Hakim Apr 1 '14 at 21:19

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