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Topic: Please factor this sextic, thank you.
Replies: 6   Last Post: Mar 30, 2012 2:31 PM

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clicliclic@freenet.de

Posts: 960
Registered: 4/26/08
Please factor this sextic, thank you.
Posted: Mar 27, 2012 12:40 AM
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Hello.

Does this cute sextic polynomial in x

(8*b*e^2 - 4*c*d*e + d^3)*x^6
+ 2*(16*a*e^2 + 2*b*d*e - 4*c^2*e + c*d^2)*x^5
+ 5*(8*a*d*e - 4*b*c*e + b*d^2)*x^4
+ 20*(a*d^2 - b^2*e)*x^3
- 5*(8*a*b*e - 4*a*c*d + b^2*d)*x^2
- 2*(16*a^2*e + 2*a*b*d - 4*a*c^2 + b^2*c)*x
- 8*a^2*d + 4*a*b*c - b^3

split into rational factors if

64*a^3*e^3 - 48*a^2*b*d*e^2 - 64*a^2*c^2*e^2 + 48*a^2*c*d^2*e
- 8*a^2*d^4 + 48*a*b^2*c*e^2 - 4*a*b^2*d^2*e - 16*a*b*c^2*d*e
+ 4*a*b*c*d^3 - 8*b^4*e^2 + 4*b^3*c*d*e - b^3*d^3 = 0

?

Thanks,

Martin.



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