Question

Factorize: x^3 + x+ 2.

Answer 1

Here is your answer:

${x}^{3} + x + 2$

${x}^{3} + {x}^{2} - {x}^{2} + x + 2$

${x}^{3} + {x}^{2} - {x}^{2} - x + 2x + 2$

${x}^{2} \times (x + 1) - {x}^{2} - x + 2x + 2$

${x}^{2} \times (x + 1) - x \times (x + 1) + 2x + 2$

${x}^{2} \times (x + 1) - x \times (x + 1) + 2(x + 1)$

$= (x + 1) \times ( {x}^{2} - x + 2)$

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