34d2-41d-15

Factor -41 out of -41d.

34d2-41(d)-15

Rewrite -41 as 10 plus -51

34d2+(10-51)d-15

Apply the distributive property.

34d2+10d-51d-15

34d2+10d-51d-15

Group the first two terms and the last two terms.

(34d2+10d)-51d-15

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

2d(17d+5)-3(17d+5)

2d(17d+5)-3(17d+5)

Factor the polynomial by factoring out the greatest common factor, 17d+5.

(17d+5)(2d-3)

Factor 34d^2-41d-15