Answer
$3p^{2}(2p-1-3p^{2})$
Work Step by Step
The greatest common factor of $6p^{3}-3p^{2}-9p^{4}$ is $3p^{2}$.
We can use the distributive property to factor out the greatest common factor.
1. $6p^{3}-3p^{2}-9p^{4}$
2. $3p^{2}\times2p+3p^{2}\times-1+3p^{2}\times-3p^{2}$
3. $3p^{2}(2p-1-3p^{2})$