Factor 2x^2+18x+16

$2 x^{2} + 18 x + 16$

Step 1

Factor $2$ out of $2 x^{2} + 18 x + 16$ .

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

$2 (x^{2}) + 18 x + 16$

Factor $2$ out of $18 x$ .

$2 (x^{2}) + 2 (9 x) + 16$

Factor $2$ out of $16$ .

$2 x^{2} + 2 (9 x) + 2 \cdot 8$

Factor $2$ out of $2 x^{2} + 2 (9 x)$ .

$2 (x^{2} + 9 x) + 2 \cdot 8$

Factor $2$ out of $2 (x^{2} + 9 x) + 2 \cdot 8$ .

$2 (x^{2} + 9 x + 8)$

Step 2

Factor.

Factor $x^{2} + 9 x + 8$ 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 $8$ and whose sum is $9$ .

$1, 8$

Write the factored form using these integers.

$2 ((x + 1) (x + 8))$

Remove unnecessary parentheses.

$2 (x + 1) (x + 8)$

Factor 2x^2+18x+16

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