Factor 12n^3-15n^2-8n+10

$12 n^{3} - 15 n^{2} - 8 n + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(12 n^{3} - 15 n^{2}) - 8 n + 10$

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

$3 n^{2} (4 n - 5) - 2 (4 n - 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 n - 5$ .

$(4 n - 5) (3 n^{2} - 2)$