Factor 2x^2+10x+8

$2 x^{2} + 10 x + 8$

Step 1

Factor $2$ out of $2 x^{2} + 10 x + 8$ .

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

$2 (x^{2}) + 10 x + 8$

Factor $2$ out of $10 x$ .

$2 (x^{2}) + 2 (5 x) + 8$

Factor $2$ out of $8$ .

$2 x^{2} + 2 (5 x) + 2 \cdot 4$

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

$2 (x^{2} + 5 x) + 2 \cdot 4$

Factor $2$ out of $2 (x^{2} + 5 x) + 2 \cdot 4$ .

$2 (x^{2} + 5 x + 4)$

Step 2

Factor.

Factor $x^{2} + 5 x + 4$ 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 $4$ and whose sum is $5$ .

$1, 4$

Write the factored form using these integers.

$2 ((x + 1) (x + 4))$

Remove unnecessary parentheses.

$2 (x + 1) (x + 4)$

Factor 2x^2+10x+8

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