[CAES] (x^4-4*x^3+2*x^2+4*x+4) Exact factorization of Quartic Polynomial

[compsystems]

Hello

QUARTIC equation A.K.A BIQUADRATICT info.
http://www.wolframalpha.com/input/?i=quartic+equation


The ti68k CAES (COMPUTER ALGEBRA EXPERT SYSTEM) calculators, factored with approximate values & only 2 factors =( =^[

cfactor (x^4-4*x^3+2*x^2+4*x+4,x) [ENTER]->
( x^2+5.0482+6.69395*x ) * ( x^2+1.0482*x+0.59755 )

wolfram if factored with exact values AND 4 FACTORS =) =]

https://www.wolframalpha.com/input/?i=fa...2B4*x%2B4) [ENTER]->

(1+sqrt(2-i *sqrt(3))-X) * (1+sqrt(2+i *sqrt(3))-X) * (-1+sqrt(2-i *sqrt(3))+X) * (-1+sqrt(2+i *sqrt(3))+X)



[REQUEST] Please add the solution of the 4th grade polynomial equation by formula