<s>[INST] Factorize: $x^3 + x + 2$. How do I factorize the term $x^3 + x +2$?
What I have previously tried is the middle term factor method but it didn't work...
$x^3 + x + 2$
$\Rightarrow x^3 + 2x - x + 2$
$\Rightarrow x(x^2 + x) - 2(x - 1)$
This doesn't work.
What should I do?
 [/INST] Another solution$:$
$$x^3+x+2=(x^3+1)+(x+1)=(x+1)(x^2-x+1)+(x+1)=(x+1)(x^2-x+2)$$
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