4w2-9w-9

Factor -9 out of -9w.

4w2-9(w)-9

Rewrite -9 as 3 plus -12

4w2+(3-12)w-9

Apply the distributive property.

4w2+3w-12w-9

4w2+3w-12w-9

Group the first two terms and the last two terms.

(4w2+3w)-12w-9

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

w(4w+3)-3(4w+3)

w(4w+3)-3(4w+3)

Factor the polynomial by factoring out the greatest common factor, 4w+3.

(4w+3)(w-3)

Factor 4w^2-9w-9