Factor 6x^2+30x+36

$6 x^{2} + 30 x + 36$

Step 1

Factor $6$ out of $6 x^{2} + 30 x + 36$ .

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

$6 (x^{2}) + 30 x + 36$

Factor $6$ out of $30 x$ .

$6 (x^{2}) + 6 (5 x) + 36$

Factor $6$ out of $36$ .

$6 x^{2} + 6 (5 x) + 6 \cdot 6$

Factor $6$ out of $6 x^{2} + 6 (5 x)$ .

$6 (x^{2} + 5 x) + 6 \cdot 6$

Factor $6$ out of $6 (x^{2} + 5 x) + 6 \cdot 6$ .

$6 (x^{2} + 5 x + 6)$

Step 2

Factor.

Factor $x^{2} + 5 x + 6$ 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 $6$ and whose sum is $5$ .

$2, 3$

Write the factored form using these integers.

$6 ((x + 2) (x + 3))$

Remove unnecessary parentheses.

$6 (x + 2) (x + 3)$

Factor 6x^2+30x+36

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