Factor 2x^2+22x+36

$2 x^{2} + 22 x + 36$

Step 1

Factor $2$ out of $2 x^{2} + 22 x + 36$ .

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

$2 (x^{2}) + 22 x + 36$

Factor $2$ out of $22 x$ .

$2 (x^{2}) + 2 (11 x) + 36$

Factor $2$ out of $36$ .

$2 x^{2} + 2 (11 x) + 2 \cdot 18$

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

$2 (x^{2} + 11 x) + 2 \cdot 18$

Factor $2$ out of $2 (x^{2} + 11 x) + 2 \cdot 18$ .

$2 (x^{2} + 11 x + 18)$

Step 2

Factor.

Factor $x^{2} + 11 x + 18$ 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 $18$ and whose sum is $11$ .

$2, 9$

Write the factored form using these integers.

$2 ((x + 2) (x + 9))$

Remove unnecessary parentheses.

$2 (x + 2) (x + 9)$

Factor 2x^2+22x+36

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