Precalculus Examples

$x^{3} + 4 x^{2} + 3 x + 12$

Step 1

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(x^{3} + 4 x^{2}) + 3 x + 12$

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

$x^{2} (x + 4) + 3 (x + 4)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 4$ .

$(x + 4) (x^{2} + 3)$

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