$$x^{4}+x^{3}+4x^{2}-45; \underline{x^{2}+9}$$
$x\left(4x^{2}+3x+8\right)$
$$4x^{4-1}+3x^{3-1}+2\times 4x^{2-1}$$
$$4x^{3}+3x^{3-1}+2\times 4x^{2-1}$$
$$4x^{3}+3x^{2}+2\times 4x^{2-1}$$
$$4x^{3}+3x^{2}+8x^{2-1}$$
$$4x^{3}+3x^{2}+8x^{1}$$
$$4x^{3}+3x^{2}+8x$$
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$x^{4}+x^{3}+4x^{2}-45$
