# How do you factor 2px^2 + 7px +3p?

First, factor out the $p$ to get $2 p {x}^{2} + 7 p x + 3 p = p \left(2 {x}^{2} + 7 x + 3\right)$. Then factor the quadratic by trial and error to get $2 p {x}^{2} + 7 p x + 3 p = p \left(2 x + 1\right) \left(x + 3\right)$.