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3\left(xy^{3}+5xy^{2}+3xy+9x\right)
Factor out 3.
x\left(y^{3}+5y^{2}+3y+9\right)
Consider xy^{3}+5xy^{2}+3xy+9x. Factor out x.
3x\left(y^{3}+5y^{2}+3y+9\right)
Rewrite the complete factored expression. Polynomial y^{3}+5y^{2}+3y+9 is not factored since it does not have any rational roots.