Factor 2x^2+6x-20

$2 x^{2} + 6 x - 20$

Step 1

Factor $2$ out of $2 x^{2} + 6 x - 20$ .

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

$2 (x^{2}) + 6 x - 20$

Factor $2$ out of $6 x$ .

$2 (x^{2}) + 2 (3 x) - 20$

Factor $2$ out of $- 20$ .

$2 x^{2} + 2 (3 x) + 2 \cdot - 10$

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

$2 (x^{2} + 3 x) + 2 \cdot - 10$

Factor $2$ out of $2 (x^{2} + 3 x) + 2 \cdot - 10$ .

$2 (x^{2} + 3 x - 10)$

Step 2

Factor.

Factor $x^{2} + 3 x - 10$ 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 $- 10$ and whose sum is $3$ .

$- 2, 5$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 2x^2+6x-20

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