Answer:
[tex](3p - 5)(p + 1)[/tex]
Step-by-step explanation:
We can factor it in the following way...
[tex]3p^{2} - 2p - 5 = 3p^{2} + 3p - 5p - 5 = 3p (p + 1) - 5(p + 1) = (3p - 5)(p + 1)[/tex]