$$2 { x }^{ 4 } -19 { x }^{ 2 } +31x+21$$
$8x^{3}-38x+31$
$$4\times 2x^{4-1}+2\left(-19\right)x^{2-1}+31x^{1-1}$$
$$8x^{4-1}+2\left(-19\right)x^{2-1}+31x^{1-1}$$
$$8x^{3}+2\left(-19\right)x^{2-1}+31x^{1-1}$$
$$8x^{3}-38x^{2-1}+31x^{1-1}$$
$$8x^{3}-38x^{1}+31x^{1-1}$$
$$8x^{3}-38x^{1}+31x^{0}$$
$$8x^{3}-38x+31x^{0}$$
$$8x^{3}-38x+31\times 1$$
$$8x^{3}-38x+31$$
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$2x^{4}-19x^{2}+31x+21$
