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November 14th, 2006, 06:30 PM   #1
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factor polynomial

i just need some help with factoring

12x^7z^2 - 18x^4z^4 - 24x^5z^6
i got to this point but dont know where to go from here
6x^4z^2(2x^3 - 3z^2 - 4xz^4)

and then i have another problem that i have no idea where to start
8x^3 - y^9


Thanks
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November 14th, 2006, 07:39 PM   #2
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Re: factor polynomial

Quote:
Originally Posted by noname
i just need some help with factoring

12x^7z^2 - 18x^4z^4 - 24x^5z^6
i got to this point but dont know where to go from here
6x^4z^2(2x^3 - 3z^2 - 4xz^4)
Well, nothing says that you can factor further. In fact, if you are trying to factor in R[x,z], then maybe 2x^3-3z^2-4xz^4 is irreducible there. If such is the case, then maybe you should try to prove it (PS: i haven't tried so maybe there is a factorization).

Quote:
Originally Posted by noname
and then i have another problem that i have no idea where to start 8x^3 - y^9
Thanks
For this one this is easy: use a^3-b^3=(a-b)(a^2+ab+b^2)
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November 17th, 2006, 07:39 AM   #3
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