36v2-13v+1

Factor -13 out of -13v.

36v2-13(v)+1

Rewrite -13 as -4 plus -9

36v2+(-4-9)v+1

Apply the distributive property.

36v2-4v-9v+1

36v2-4v-9v+1

Group the first two terms and the last two terms.

(36v2-4v)-9v+1

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

4v(9v-1)-(9v-1)

4v(9v-1)-(9v-1)

Factor the polynomial by factoring out the greatest common factor, 9v-1.

(9v-1)(4v-1)

Factor 36v^2-13v+1