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\frac{x^{6}-6x^{4}+2x}{2}
Factor out \frac{1}{2}.
x\left(x^{5}-6x^{3}+2\right)
Consider x^{6}-6x^{4}+2x. Factor out x.
\frac{x\left(x^{5}-6x^{3}+2\right)}{2}
Rewrite the complete factored expression. Polynomial x^{5}-6x^{3}+2 is not factored since it does not have any rational roots.