## Intermediate Algebra: Connecting Concepts through Application

$2p(p+7)(p-3)$
Pull out the greatest common factor of the trinomial. Then since the coefficient of the variable squared is $1$, factor using trial and error. $2p^3+8p^2-42p$ $=2p(p^2+4p-21)$ $=2p(p+7)(p-3)$