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3\left(4y^{5}-2y^{4}+3y^{2}\right)
Factor out 3.
y^{2}\left(4y^{3}-2y^{2}+3\right)
Consider 4y^{5}-2y^{4}+3y^{2}. Factor out y^{2}.
3y^{2}\left(4y^{3}-2y^{2}+3\right)
Rewrite the complete factored expression. Polynomial 4y^{3}-2y^{2}+3 is not factored since it does not have any rational roots.