Factor 2x^2+12x+10

$2 x^{2} + 12 x + 10$

Step 1

Factor $2$ out of $2 x^{2} + 12 x + 10$ .

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

$2 (x^{2}) + 12 x + 10$

Factor $2$ out of $12 x$ .

$2 (x^{2}) + 2 (6 x) + 10$

Factor $2$ out of $10$ .

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

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

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

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

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

Step 2

Factor.

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

$1, 5$

Write the factored form using these integers.

$2 ((x + 1) (x + 5))$

Remove unnecessary parentheses.

$2 (x + 1) (x + 5)$

Factor 2x^2+12x+10

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