Answer
GCF=$3 h^{3}$
$3 h^{3}(10h^{2}-2h-5)$
Work Step by Step
Find the GCF of the terms in the polynomial. Then factor the polynomial.
$30h^{5}-6h^{4}-15h^{3}$
All of the terms are divisible by $h^{3}$ so the GCF has a $h^{3}$
All of the coefficients are divisible by $3$ so the GCF must have a $3$
GCF=$3 h^{3}$
Factor:
$3 h^{3}(10h^{2}-2h-5)$