Question

−2t^2 +4t+30 write in factored form

Answer 1

Step-by-step explanation:

Common factor,

$-2t^2+4t+30$

$-2(t^2-2t-15)$

Use the sum-product pattern

$-2(t^2-2t-15)$

$-2(t^2+3t-5t-15)$

Common factor from the two pairs

$-2(t^2+3t-5t-15)$

$-2(t(t+3)-5(t+3))$

Rewrite in factored form

$-2(t(t+3)-5(t+3))$

$-2(t-5)(t+3)$

-2 ( t - 5 )( t + 3 ) is the factored form.