Precalculus Examples

$3 x^{2} + 9 x + 33$

Step 1

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) + 9 x + 33$

Step 2

Factor $3$ out of $9 x$ .

$3 (x^{2}) + 3 (3 x) + 33$

Step 3

Factor $3$ out of $33$ .

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

Step 4

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

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

Step 5

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

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