$$2.1 { x }^{ 3 } +3.2 { x }^{ 2 } +5-3x+1.9 { x }^{ 3 } -1.2 { x }^{ 2 } +2x-1$$
$4x^{3}+2x^{2}-x+4$
$$4x^{3}+3.2x^{2}+5-3x-1.2x^{2}+2x-1$$
$$4x^{3}+2x^{2}+5-3x+2x-1$$
$$4x^{3}+2x^{2}+5-x-1$$
$$4x^{3}+2x^{2}+4-x$$
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$\left(6x-1\right)\left(2x+1\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}+3.2x^{2}+5-3x-1.2x^{2}+2x-1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}+2x^{2}+5-3x+2x-1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}+2x^{2}+5-x-1)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}+2x^{2}+4-x)$$
$$3\times 4x^{3-1}+2\times 2x^{2-1}-x^{1-1}$$
$$12x^{3-1}+2\times 2x^{2-1}-x^{1-1}$$
$$12x^{2}+2\times 2x^{2-1}-x^{1-1}$$
$$12x^{2}+4x^{2-1}-x^{1-1}$$
$$12x^{2}+4x^{1}-x^{1-1}$$
$$12x^{2}+4x^{1}-x^{0}$$
$$12x^{2}+4x-x^{0}$$
$$12x^{2}+4x-1$$
