7z2+17z+10

Factor 17 out of 17z.

7z2+17(z)+10

Rewrite 17 as 7 plus 10

7z2+(7+10)z+10

Apply the distributive property.

7z2+7z+10z+10

7z2+7z+10z+10

Group the first two terms and the last two terms.

(7z2+7z)+10z+10

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

7z(z+1)+10(z+1)

7z(z+1)+10(z+1)

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

(z+1)(7z+10)

Factor 7z^2+17z+10