2y2+11y+9

Factor 11 out of 11y.

2y2+11(y)+9

Rewrite 11 as 2 plus 9

2y2+(2+9)y+9

Apply the distributive property.

2y2+2y+9y+9

2y2+2y+9y+9

Group the first two terms and the last two terms.

(2y2+2y)+9y+9

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

2y(y+1)+9(y+1)

2y(y+1)+9(y+1)

Factor the polynomial by factoring out the greatest common factor, y+1.

(y+1)(2y+9)

Factor 2y^2+11y+9