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 $- 6$ .

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

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

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

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

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

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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