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2\left(x^{2}-3x+4x^{3}-6x^{4}\right)
Factor out 2.
x\left(x-3+4x^{2}-6x^{3}\right)
Consider x^{2}-3x+4x^{3}-6x^{4}. Factor out x.
2x\left(x-3+4x^{2}-6x^{3}\right)
Rewrite the complete factored expression. Polynomial x-3+4x^{2}-6x^{3} is not factored since it does not have any rational roots.