Answer
$-(5w+7)(3w-4)$.
Work Step by Step
The given polynomial is
$=-15w^2-w+28$
Factor out $-1$.
$=-(15w^2+w-28)$
Rewrite $w$ as $21w-20w$.
$=-(15w^2+21w-20w-28)$
Group the terms.
$=-[(15w^2+21w)+(-20w-28)]$
Factor each group.
$=-[3w(5w+7)-4(5w+7)]$
Factor out $(5w+7)$.
$=-(5w+7)(3w-4)$
Hence, the factor of the polynomial is $-(5w+7)(3w-4)$.
