$$4 { x }^{ 3 } -2 { x }^{ 2 } +6x+8 \div 2x$$
$2x\left(2x^{2}-x+5\right)$
$$4x^{3}-2x^{2}+6x+4x$$
$$4x^{3}-2x^{2}+10x$$
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$$2\left(2x^{3}-x^{2}+3x+2x\right)$$
$$x\left(2x^{2}-x+5\right)$$
$$2x\left(2x^{2}-x+5\right)$$