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2\left(3y^{2}-4y^{3}+2y^{4}\right)
Factor out 2.
y^{2}\left(3-4y+2y^{2}\right)
Consider 3y^{2}-4y^{3}+2y^{4}. Factor out y^{2}.
2y^{2}\left(3-4y+2y^{2}\right)
Rewrite the complete factored expression. Polynomial 3-4y+2y^{2} is not factored since it does not have any rational roots.