Presumeably you want a complete factorization of this 6th degree polynomial expression.
Let .
Then
Take out a 2:
Factor the quadratic binomial:
Replace the substitution:
Use the sum and difference of cubes factorization:
If you are factoring over , then you are done. If you need to factor over , then continue using the quadratic formula to determine the four complex factors (verification left as an exercise for the student):
Ending with 6 binomial factors as the Fundamental Theorem of Algebra guarantees for a 6th degree polynomial.
John
My calculator said it, I believe it, that settles it
