Factor -3x^2-12x-9

$- 3 x^{2} - 12 x - 9$

Step 1

Factor $- 3$ out of $- 3 x^{2} - 12 x - 9$ .

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

$- 3 (x^{2}) - 12 x - 9$

Factor $- 3$ out of $- 12 x$ .

$- 3 (x^{2}) - 3 (4 x) - 9$

Factor $- 3$ out of $- 9$ .

$- 3 (x^{2}) - 3 (4 x) - 3 (3)$

Factor $- 3$ out of $- 3 (x^{2}) - 3 (4 x)$ .

$- 3 (x^{2} + 4 x) - 3 (3)$

Factor $- 3$ out of $- 3 (x^{2} + 4 x) - 3 (3)$ .

$- 3 (x^{2} + 4 x + 3)$

Step 2

Factor.

Factor $x^{2} + 4 x + 3$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $3$ and whose sum is $4$ .

$1, 3$

Write the factored form using these integers.

$- 3 ((x + 1) (x + 3))$

Remove unnecessary parentheses.

$- 3 (x + 1) (x + 3)$

Factor -3x^2-12x-9

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