Precalculus Examples

$2 x^{2} + 6 x + 22$

Step 1

Factor $2$ out of $2 x^{2}$ .

$2 (x^{2}) + 6 x + 22$

Step 2

Factor $2$ out of $6 x$ .

$2 (x^{2}) + 2 (3 x) + 22$

Step 3

Factor $2$ out of $22$ .

$2 x^{2} + 2 (3 x) + 2 \cdot 11$

Step 4

Factor $2$ out of $2 x^{2} + 2 (3 x)$ .

$2 (x^{2} + 3 x) + 2 \cdot 11$

Step 5

Factor $2$ out of $2 (x^{2} + 3 x) + 2 \cdot 11$ .

$2 (x^{2} + 3 x + 11)$