8z2-10z+3

Factor -10 out of -10z.

8z2-10(z)+3

Rewrite -10 as -4 plus -6

8z2+(-4-6)z+3

Apply the distributive property.

8z2-4z-6z+3

8z2-4z-6z+3

Group the first two terms and the last two terms.

(8z2-4z)-6z+3

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

4z(2z-1)-3(2z-1)

4z(2z-1)-3(2z-1)

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

(2z-1)(4z-3)

Factor 8z^2-10z+3