Factor 2x^2+26x+80

$2 x^{2} + 26 x + 80$

Step 1

Factor $2$ out of $2 x^{2} + 26 x + 80$ .

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

$2 (x^{2}) + 26 x + 80$

Factor $2$ out of $26 x$ .

$2 (x^{2}) + 2 (13 x) + 80$

Factor $2$ out of $80$ .

$2 x^{2} + 2 (13 x) + 2 \cdot 40$

Factor $2$ out of $2 x^{2} + 2 (13 x)$ .

$2 (x^{2} + 13 x) + 2 \cdot 40$

Factor $2$ out of $2 (x^{2} + 13 x) + 2 \cdot 40$ .

$2 (x^{2} + 13 x + 40)$

Step 2

Factor.

Factor $x^{2} + 13 x + 40$ 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 $40$ and whose sum is $13$ .

$5, 8$

Write the factored form using these integers.

$2 ((x + 5) (x + 8))$

Remove unnecessary parentheses.

$2 (x + 5) (x + 8)$

Factor 2x^2+26x+80

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