Precalculus Examples

$6 x^{2} + 9 x + 10 x + 15$

Step 1

Reorder terms.

$6 x^{2} + 10 x + 9 x + 15$

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.

$(6 x^{2} + 10 x) + 9 x + 15$

Step 2.2

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

$2 x (3 x + 5) + 3 (3 x + 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x + 5$ .

$(3 x + 5) (2 x + 3)$