2z2-9z-35

Factor -9 out of -9z.

2z2-9(z)-35

Rewrite -9 as 5 plus -14

2z2+(5-14)z-35

Apply the distributive property.

2z2+5z-14z-35

2z2+5z-14z-35

Group the first two terms and the last two terms.

(2z2+5z)-14z-35

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

z(2z+5)-7(2z+5)

z(2z+5)-7(2z+5)

Factor the polynomial by factoring out the greatest common factor, 2z+5.

(2z+5)(z-7)

Factor 2z^2-9z-35