5p2+13p+6

Factor 13 out of 13p.

5p2+13(p)+6

Rewrite 13 as 3 plus 10

5p2+(3+10)p+6

Apply the distributive property.

5p2+3p+10p+6

5p2+3p+10p+6

Group the first two terms and the last two terms.

(5p2+3p)+10p+6

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

p(5p+3)+2(5p+3)

p(5p+3)+2(5p+3)

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

(5p+3)(p+2)

Factor 5p^2+13p+6