Factor -16t^2+64t+960

$- 16 t^{2} + 64 t + 960$

Step 1

Factor $- 16$ out of $- 16 t^{2} + 64 t + 960$ .

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

$- 16 (t^{2}) + 64 t + 960$

Factor $- 16$ out of $64 t$ .

$- 16 (t^{2}) - 16 (- 4 t) + 960$

Factor $- 16$ out of $960$ .

$- 16 (t^{2}) - 16 (- 4 t) - 16 (- 60)$

Factor $- 16$ out of $- 16 (t^{2}) - 16 (- 4 t)$ .

$- 16 (t^{2} - 4 t) - 16 (- 60)$

Factor $- 16$ out of $- 16 (t^{2} - 4 t) - 16 (- 60)$ .

$- 16 (t^{2} - 4 t - 60)$

Step 2

Factor.

Factor $t^{2} - 4 t - 60$ 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 $- 60$ and whose sum is $- 4$ .

$- 10, 6$

Write the factored form using these integers.

$- 16 ((t - 10) (t + 6))$

Remove unnecessary parentheses.

$- 16 (t - 10) (t + 6)$

Factor -16t^2+64t+960

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