Factor -2x^2-4x+6

$- 2 x^{2} - 4 x + 6$

Step 1

Factor $- 2$ out of $- 2 x^{2} - 4 x + 6$ .

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

$- 2 (x^{2}) - 4 x + 6$

Factor $- 2$ out of $- 4 x$ .

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

Factor $- 2$ out of $6$ .

$- 2 (x^{2}) - 2 (2 x) - 2 (- 3)$

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

$- 2 (x^{2} + 2 x) - 2 (- 3)$

Factor $- 2$ out of $- 2 (x^{2} + 2 x) - 2 (- 3)$ .

$- 2 (x^{2} + 2 x - 3)$

Step 2

Factor.

Factor $x^{2} + 2 x - 3$ 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 $- 3$ and whose sum is $2$ .

$- 1, 3$

Write the factored form using these integers.

$- 2 ((x - 1) (x + 3))$

Remove unnecessary parentheses.

$- 2 (x - 1) (x + 3)$

Factor -2x^2-4x+6

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