Factor 4z^2-24z-18m+3mz

$4 z^{2} - 24 z - 18 m + 3 m z$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 z^{2} - 24 z) - 18 m + 3 m z$

Factor out the greatest common factor (GCF) from each group.

$4 z (z - 6) + 3 m (z - 6)$

Factor the polynomial by factoring out the greatest common factor, $z - 6$ .

$(z - 6) (4 z + 3 m)$