8y2-14y-15

Factor -14 out of -14y.

8y2-14(y)-15

Rewrite -14 as 6 plus -20

8y2+(6-20)y-15

Apply the distributive property.

8y2+6y-20y-15

8y2+6y-20y-15

Group the first two terms and the last two terms.

(8y2+6y)-20y-15

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

2y(4y+3)-5(4y+3)

2y(4y+3)-5(4y+3)

Factor the polynomial by factoring out the greatest common factor, 4y+3.

(4y+3)(2y-5)

Factor 8y^2-14y-15