12r2+29r+15

Factor 29 out of 29r.

12r2+29(r)+15

Rewrite 29 as 9 plus 20

12r2+(9+20)r+15

Apply the distributive property.

12r2+9r+20r+15

12r2+9r+20r+15

Group the first two terms and the last two terms.

(12r2+9r)+20r+15

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

3r(4r+3)+5(4r+3)

3r(4r+3)+5(4r+3)

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

(4r+3)(3r+5)

Factor 12r^2+29r+15