5v2+8v+3

Factor 8 out of 8v.

5v2+8(v)+3

Rewrite 8 as 3 plus 5

5v2+(3+5)v+3

Apply the distributive property.

5v2+3v+5v+3

5v2+3v+5v+3

Group the first two terms and the last two terms.

(5v2+3v)+5v+3

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

v(5v+3)+1(5v+3)

v(5v+3)+1(5v+3)

Factor the polynomial by factoring out the greatest common factor, 5v+3.

(5v+3)(v+1)

Factor 5v^2+8v+3