Answer
$(s-10)(s-5)$.
Work Step by Step
The given polynomial is
$=s^2-15s+50$
Rewrite $-15s$ as $-10s-5s$.
$=s^2-10s-5x+50$
Group the terms.
$=(s^2-10s)+(-5x+50)$
Factor each group.
$=s(s-10)-5(s-10)$
Factor out $(s-10)$.
$=(s-10)(s-5)$
Hence, the factor of the polynomial is $(s-10)(s-5)$.