Algebra Examples

$x^{3} - 2 x^{2} + 6 - 3 x$

Step 1

Reorder terms.

$x^{3} - 2 x^{2} - 3 x + 6$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(x^{3} - 2 x^{2}) - 3 x + 6$

Step 2.2

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

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

Step 3

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

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