Factor 4x^2-16x-48

$4 x^{2} - 16 x - 48$

Step 1

Factor $4$ out of $4 x^{2} - 16 x - 48$ .

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

$4 (x^{2}) - 16 x - 48$

Factor $4$ out of $- 16 x$ .

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

Factor $4$ out of $- 48$ .

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

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

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

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

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

Step 2

Factor.

Factor $x^{2} - 4 x - 12$ 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 $- 4$ .

$- 6, 2$

Write the factored form using these integers.

$4 ((x - 6) (x + 2))$

Remove unnecessary parentheses.

$4 (x - 6) (x + 2)$

Factor 4x^2-16x-48

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