15y2-49y-22

Factor -49 out of -49y.

15y2-49(y)-22

Rewrite -49 as 6 plus -55

15y2+(6-55)y-22

Apply the distributive property.

15y2+6y-55y-22

15y2+6y-55y-22

Group the first two terms and the last two terms.

(15y2+6y)-55y-22

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

3y(5y+2)-11(5y+2)

3y(5y+2)-11(5y+2)

Factor the polynomial by factoring out the greatest common factor, 5y+2.

(5y+2)(3y-11)

Factor 15y^2-49y-22