# How do you factor the polynomials 5gf^2+g^2f+15gf?

$5 g {f}^{2} + {g}^{2} f + 15 g f = g f \left(3 f + g + 15\right)$
We have a common factor of $g f$, so factor this out:
$5 g {f}^{2} + {g}^{2} f + 15 g f = g f \left(3 f + g + 15\right)$