Factor 8z^2-4z+10z-5

$8 z^{2} - 4 z + 10 z - 5$

Step 1

Reorder terms.

$8 z^{2} + 10 z - 4 z - 5$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 z^{2} + 10 z) - 4 z - 5$

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

$2 z (4 z + 5) - (4 z + 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $4 z + 5$ .

$(4 z + 5) (2 z - 1)$