Answer
$(2w-5)(5w-3)$.
Work Step by Step
The given polynomial is
$=10w^2-31w+15$
Rewrite $-31w$ as $-25w-6w$.
$=10w^2-25w-6w+15$
Group the terms.
$=(10w^2-25w)+(-6w+15)$
Factor each group.
$=5w(2w-5)-3(2w-5)$
Factor out $(2w-5)$.
$=(2w-5)(5w-3)$
Hence, the factor of the polynomial is $(2w-5)(5w-3)$.
