Factor 2x^2-2x-40

$2 x^{2} - 2 x - 40$

Step 1

Factor $2$ out of $2 x^{2} - 2 x - 40$ .

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

$2 (x^{2}) - 2 x - 40$

Factor $2$ out of $- 2 x$ .

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

Factor $2$ out of $- 40$ .

$2 (x^{2}) + 2 (- x) + 2 (- 20)$

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

$2 (x^{2} - x) + 2 (- 20)$

Factor $2$ out of $2 (x^{2} - x) + 2 (- 20)$ .

$2 (x^{2} - x - 20)$

Step 2

Factor.

Factor $x^{2} - x - 20$ 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 $- 20$ and whose sum is $- 1$ .

$- 5, 4$

Write the factored form using these integers.

$2 ((x - 5) (x + 4))$

Remove unnecessary parentheses.

$2 (x - 5) (x + 4)$

Factor 2x^2-2x-40

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