Factor by grouping: $$ x^{3} + 3x^{2} + 2x + 6 $$

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Factor the expression $$ x^3 + 3x^2 + 2x + 6 $$.
Factor the expression by following steps:
- step0: Factor:
  $$x^{3}+3x^{2}+2x+6$$
- step1: Rewrite the expression:
  $$x^{3}+2x+3x^{2}+6$$
- step2: Factor the expression:
  $$x\left(x^{2}+2\right)+3\left(x^{2}+2\right)$$
- step3: Factor the expression:
  $$\left(x+3\right)\left(x^{2}+2\right)$$
The factored form of $$ x^{3} + 3x^{2} + 2x + 6 $$ by grouping is $$(x+3)(x^{2}+2)$$.
$$(x+3)(x^{2}+2)$$

Factor by grouping:

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