Trigonometry Examples

$a^{3} - 3 a^{2} + 5 a - 15$

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.

$(a^{3} - 3 a^{2}) + 5 a - 15$

Step 1.2

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

$a^{2} (a - 3) + 5 (a - 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $a - 3$ .

$(a - 3) (a^{2} + 5)$