Factor 3x^2+36x+96

$3 x^{2} + 36 x + 96$

Step 1

Factor $3$ out of $3 x^{2} + 36 x + 96$ .

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

$3 (x^{2}) + 36 x + 96$

Factor $3$ out of $36 x$ .

$3 (x^{2}) + 3 (12 x) + 96$

Factor $3$ out of $96$ .

$3 x^{2} + 3 (12 x) + 3 \cdot 32$

Factor $3$ out of $3 x^{2} + 3 (12 x)$ .

$3 (x^{2} + 12 x) + 3 \cdot 32$

Factor $3$ out of $3 (x^{2} + 12 x) + 3 \cdot 32$ .

$3 (x^{2} + 12 x + 32)$

Step 2

Factor.

Factor $x^{2} + 12 x + 32$ 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 $32$ and whose sum is $12$ .

$4, 8$

Write the factored form using these integers.

$3 ((x + 4) (x + 8))$

Remove unnecessary parentheses.

$3 (x + 4) (x + 8)$

Factor 3x^2+36x+96

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