Factor by Grouping 9y^4-15y-6y^3+10

$9 y^{4} - 15 y - 6 y^{3} + 10$

Step 1

Reorder terms.

$9 y^{4} - 6 y^{3} - 15 y + 10$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 y^{4} - 6 y^{3}) - 15 y + 10$

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

$3 y^{3} (3 y - 2) - 5 (3 y - 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 y - 2$ .

$(3 y - 2) (3 y^{3} - 5)$