Trigonometry Examples

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

Step 1

Reorder terms.

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

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.

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

Step 2.2

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

$2 x^{2} (x + 1) - 3 (x + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $x + 1$ .

$(x + 1) (2 x^{2} - 3)$