Factor 3x^2-3x-6

$3 x^{2} - 3 x - 6$

Step 1

Factor $3$ out of $3 x^{2} - 3 x - 6$ .

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) - 3 x - 6$

Factor $3$ out of $- 3 x$ .

$3 (x^{2}) + 3 (- x) - 6$

Factor $3$ out of $- 6$ .

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

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

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

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

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

Step 2

Factor.

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

$- 2, 1$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 3x^2-3x-6

Related Questions

Support LCMGCF.com by disabling your adblocker.