Factor -16t^2+32t+768

$- 16 t^{2} + 32 t + 768$

Step 1

Factor $- 16$ out of $- 16 t^{2} + 32 t + 768$ .

Factor $- 16$ out of $- 16 t^{2}$ .

$- 16 (t^{2}) + 32 t + 768$

Factor $- 16$ out of $32 t$ .

$- 16 (t^{2}) - 16 (- 2 t) + 768$

Factor $- 16$ out of $768$ .

$- 16 (t^{2}) - 16 (- 2 t) - 16 (- 48)$

Factor $- 16$ out of $- 16 (t^{2}) - 16 (- 2 t)$ .

$- 16 (t^{2} - 2 t) - 16 (- 48)$

Factor $- 16$ out of $- 16 (t^{2} - 2 t) - 16 (- 48)$ .

$- 16 (t^{2} - 2 t - 48)$

Step 2

Factor.

Factor $t^{2} - 2 t - 48$ 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 $- 48$ and whose sum is $- 2$ .

$- 8, 6$

Write the factored form using these integers.

$- 16 ((t - 8) (t + 6))$

Remove unnecessary parentheses.

$- 16 (t - 8) (t + 6)$

Factor -16t^2+32t+768

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