Answer
$-(y+4)(5y+2)$.
Work Step by Step
The given polynomial is
$=-5y^2-22y-8$
Factor out $-1$.
$=-(5y^2+22y+8)$
Rewrite $22y$ as $20y+2y$.
$=-(5y^2+20y+2y+8)$
Group the terms.
$=-[(5y^2+20y)+(2y+8)]$
Factor each group.
$=-[5y(y+4)+2(y+4)]$
Factor out $(y+4)$.
$=-(y+4)(5y+2)$
Hence, the factor of the polynomial is $-(y+4)(5y+2)$.
