3v2-26v-9

Factor -26 out of -26v.

3v2-26(v)-9

Rewrite -26 as 1 plus -27

3v2+(1-27)v-9

Apply the distributive property.

3v2+1v-27v-9

Multiply v by 1.

3v2+v-27v-9

3v2+v-27v-9

Group the first two terms and the last two terms.

(3v2+v)-27v-9

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

v(3v+1)-9(3v+1)

v(3v+1)-9(3v+1)

Factor the polynomial by factoring out the greatest common factor, 3v+1.

(3v+1)(v-9)

Factor 3v^2-26v-9