Answer
$-(m-1)(5m-1)$.
Work Step by Step
The given polynomial is
$=-5m^2+6m-1$
Rewrite $6m$ as $5m+m$.
$=-5m^2+5m+m-1$
Group the terms.
$=(-5m^2+5m)+(m-1)$
Factor each group.
$=-5m(m-1)+1(m-1)$
Factor out $(m-1)$.
$=(m-1)(-5m+1)$
$=-(m-1)(5m-1)$
Hence, the factor of the polynomial is $-(m-1)(5m-1)$.