Question

12v^6-44v^5+44v^4 Factor completely

Answer 1

4y^4 *(3y^2 -11y +11)
that's as much you can get, since (3y^2 -11y +11) cannot be factorized.
well you can have imaginary number:
4y^4 *(1/12 (11 i+sqrt(11)-6 i y) (-11 i+sqrt(11)+6 i y))

Answer 2

oh, and for the imaginary no. that was from irreducible factorization.
Hope this helps!