Factor 2x^2+16x+30

$2 x^{2} + 16 x + 30$

Step 1

Factor $2$ out of $2 x^{2} + 16 x + 30$ .

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

$2 (x^{2}) + 16 x + 30$

Factor $2$ out of $16 x$ .

$2 (x^{2}) + 2 (8 x) + 30$

Factor $2$ out of $30$ .

$2 x^{2} + 2 (8 x) + 2 \cdot 15$

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

$2 (x^{2} + 8 x) + 2 \cdot 15$

Factor $2$ out of $2 (x^{2} + 8 x) + 2 \cdot 15$ .

$2 (x^{2} + 8 x + 15)$

Step 2

Factor.

Factor $x^{2} + 8 x + 15$ 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 $15$ and whose sum is $8$ .

$3, 5$

Write the factored form using these integers.

$2 ((x + 3) (x + 5))$

Remove unnecessary parentheses.

$2 (x + 3) (x + 5)$

Factor 2x^2+16x+30

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