Factorize:
$x^{3}+2 x^{2}+5 x+10$
We have:
$x^{3}+2 x^{2}+5 x+10=\left(x^{3}+2 x^{2}\right)+(5 x+10)$
$=x^{2}(x+2)+5(x+2)$
$=(x+2)\left(x^{2}+5\right)$
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