Factor 4x^2-4x-48

$4 x^{2} - 4 x - 48$

Step 1

Factor $4$ out of $4 x^{2} - 4 x - 48$ .

Factor $4$ out of $4 x^{2}$ .

$4 (x^{2}) - 4 x - 48$

Factor $4$ out of $- 4 x$ .

$4 (x^{2}) + 4 (- x) - 48$

Factor $4$ out of $- 48$ .

$4 (x^{2}) + 4 (- x) + 4 (- 12)$

Factor $4$ out of $4 (x^{2}) + 4 (- x)$ .

$4 (x^{2} - x) + 4 (- 12)$

Factor $4$ out of $4 (x^{2} - x) + 4 (- 12)$ .

$4 (x^{2} - x - 12)$

Step 2

Factor.

Factor $x^{2} - x - 12$ 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 $- 12$ and whose sum is $- 1$ .

$- 4, 3$

Write the factored form using these integers.

$4 ((x - 4) (x + 3))$

Remove unnecessary parentheses.

$4 (x - 4) (x + 3)$

Factor 4x^2-4x-48

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