$$x^{5}-7x^{3}+2x^{2}-7$$
$x\left(5x^{3}-21x+4\right)$
$$5x^{5-1}+3\left(-7\right)x^{3-1}+2\times 2x^{2-1}$$
$$5x^{4}+3\left(-7\right)x^{3-1}+2\times 2x^{2-1}$$
$$5x^{4}-21x^{3-1}+2\times 2x^{2-1}$$
$$5x^{4}-21x^{2}+2\times 2x^{2-1}$$
$$5x^{4}-21x^{2}+4x^{2-1}$$
$$5x^{4}-21x^{2}+4x^{1}$$
$$5x^{4}-21x^{2}+4x$$
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$x^{5}-7x^{3}+2x^{2}-7$