6z2-17z+7

Factor -17 out of -17z.

6z2-17(z)+7

Rewrite -17 as -3 plus -14

6z2+(-3-14)z+7

Apply the distributive property.

6z2-3z-14z+7

6z2-3z-14z+7

Group the first two terms and the last two terms.

(6z2-3z)-14z+7

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

3z(2z-1)-7(2z-1)

3z(2z-1)-7(2z-1)

Factor the polynomial by factoring out the greatest common factor, 2z-1.

(2z-1)(3z-7)

Factor 6z^2-17z+7