Answer
$-16t(t-10)(t+6)$
Work Step by Step
Step 1: Find the GCF of the polynomial, $-16t^{2}+64t+960$. The GCF is $-16$, so move that to outside of the parenthesis of the polynomial.
Step 2: Factor $−16(t^{2}-4t-60)$. Find two integers with a product $−60$ and a sum $−4$.
$-10$ and $6$ have a product of $-60$ and a sum of $-4$.
$−16(t^{2}-4t-60)=-16(t-10)(t+6)$
Distribute −16 to check your answer and make sure you have the original polynomial, $-16t^{2}+64t+960$.
