Precalculus Examples

$8 x^{5} - 6 x^{2} + 12 x^{3} - 9$

Step 1

Reorder terms.

$8 x^{5} + 12 x^{3} - 6 x^{2} - 9$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$(8 x^{5} + 12 x^{3}) - 6 x^{2} - 9$

Step 2.2

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 x^{2} + 3$ .

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