Factor 3x^2-3x-126

$3 x^{2} - 3 x - 126$

Step 1

Factor $3$ out of $3 x^{2} - 3 x - 126$ .

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

$3 (x^{2}) - 3 x - 126$

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

$3 (x^{2}) + 3 (- x) - 126$

Factor $3$ out of $- 126$ .

$3 (x^{2}) + 3 (- x) + 3 (- 42)$

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

$3 (x^{2} - x) + 3 (- 42)$

Factor $3$ out of $3 (x^{2} - x) + 3 (- 42)$ .

$3 (x^{2} - x - 42)$

Step 2

Factor.

Factor $x^{2} - x - 42$ 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 $- 42$ and whose sum is $- 1$ .

$- 7, 6$

Write the factored form using these integers.

$3 ((x - 7) (x + 6))$

Remove unnecessary parentheses.

$3 (x - 7) (x + 6)$

Factor 3x^2-3x-126

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