Answer
$(h+3)(3h+2)$.
Work Step by Step
The given polynomial is
$=3h^2+11h+6$
Rewrite $11h$ as $9h+2h$.
$=3h^2+9h+2h+6$
Group the terms.
$=(3h^2+9h)+(2h+6)$
Factor each group.
$=3h(h+3)+2(h+3)$
Factor out $(h+3)$.
$=(h+3)(3h+2)$
Hence, the factor of the polynomial is $(h+3)(3h+2)$.
