Factor 6x^2+18x+12

$6 x^{2} + 18 x + 12$

Step 1

Factor $6$ out of $6 x^{2} + 18 x + 12$ .

Factor $6$ out of $6 x^{2}$ .

$6 (x^{2}) + 18 x + 12$

Factor $6$ out of $18 x$ .

$6 (x^{2}) + 6 (3 x) + 12$

Factor $6$ out of $12$ .

$6 x^{2} + 6 (3 x) + 6 \cdot 2$

Factor $6$ out of $6 x^{2} + 6 (3 x)$ .

$6 (x^{2} + 3 x) + 6 \cdot 2$

Factor $6$ out of $6 (x^{2} + 3 x) + 6 \cdot 2$ .

$6 (x^{2} + 3 x + 2)$

Step 2

Factor.

Factor $x^{2} + 3 x + 2$ 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 $2$ and whose sum is $3$ .

$1, 2$

Write the factored form using these integers.

$6 ((x + 1) (x + 2))$

Remove unnecessary parentheses.

$6 (x + 1) (x + 2)$

Factor 6x^2+18x+12

Related Questions

Support LCMGCF.com by disabling your adblocker.