Algebra Examples

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

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

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

Step 1.2

Factor out the greatest common factor (GCF) from each group.

$x^{2} (x + 2) + 1 (x + 2)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 2$ .

$(x + 2) (x^{2} + 1)$