Answer
$-(k+5)(5k-3)$.
Work Step by Step
The given polynomial is
$=-5k^2-22k+15$
Factor out $-1$.
$=-(5k^2+22k-15)$
Rewrite $22k$ as $25k-3k$.
$=-(5k^2+25k-3k-15)$
Group the terms.
$=-[(5k^2+25k)+(-3k-15)]$
Factor each group.
$=-[5k(k+5)-3(k+5)]$
Factor out $(k+5)$.
$=-(k+5)(5k-3)$
Hence, the factor of the polynomial is $-(k+5)(5k-3)$.
