56v2+17v-3

Factor 17 out of 17v.

56v2+17(v)-3

Rewrite 17 as -7 plus 24

56v2+(-7+24)v-3

Apply the distributive property.

56v2-7v+24v-3

56v2-7v+24v-3

Group the first two terms and the last two terms.

(56v2-7v)+24v-3

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

7v(8v-1)+3(8v-1)

7v(8v-1)+3(8v-1)

Factor the polynomial by factoring out the greatest common factor, 8v-1.

(8v-1)(7v+3)

Factor 56v^2+17v-3