Factor 2x^2-10x+12

$2 x^{2} - 10 x + 12$

Step 1

Factor $2$ out of $2 x^{2} - 10 x + 12$ .

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

$2 (x^{2}) - 10 x + 12$

Factor $2$ out of $- 10 x$ .

$2 (x^{2}) + 2 (- 5 x) + 12$

Factor $2$ out of $12$ .

$2 x^{2} + 2 (- 5 x) + 2 \cdot 6$

Factor $2$ out of $2 x^{2} + 2 (- 5 x)$ .

$2 (x^{2} - 5 x) + 2 \cdot 6$

Factor $2$ out of $2 (x^{2} - 5 x) + 2 \cdot 6$ .

$2 (x^{2} - 5 x + 6)$

Step 2

Factor.

Factor $x^{2} - 5 x + 6$ 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 $6$ and whose sum is $- 5$ .

$- 3, - 2$

Write the factored form using these integers.

$2 ((x - 3) (x - 2))$

Remove unnecessary parentheses.

$2 (x - 3) (x - 2)$

Factor 2x^2-10x+12

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