Precalculus Examples

$12 (2 x^{2} - 13 x - 19)$

Step 1

Apply the distributive property.

$12 (2 x^{2}) + 12 (- 13 x) + 12 \cdot - 19$

Step 2

Simplify.

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Step 2.1

Multiply $2$ by $12$ .

$24 x^{2} + 12 (- 13 x) + 12 \cdot - 19$

Step 2.2

Multiply $- 13$ by $12$ .

$24 x^{2} - 156 x + 12 \cdot - 19$

Step 2.3

Multiply $12$ by $- 19$ .

$24 x^{2} - 156 x - 228$

Step 3

Find the greatest common factor.

$12$

Step 4

Find the list of all common factors for $24 x^{2} - 156 x - 228$ by finding the greatest common factor (GCF) for $24 x^{2} - 156 x - 228$ and breaking it down to the list of common factors $1, 12, 2, 2, 3, 12$ . Then find all the possible combinations of these common factors, which are also common factors.

$12, 4, 6, 2, 3, 1$