3s2+8s-3

Factor 8 out of 8s.

3s2+8(s)-3

Rewrite 8 as -1 plus 9

3s2+(-1+9)s-3

Apply the distributive property.

3s2-1s+9s-3

3s2-1s+9s-3

Group the first two terms and the last two terms.

(3s2-1s)+9s-3

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

s(3s-1)+3(3s-1)

s(3s-1)+3(3s-1)

Factor the polynomial by factoring out the greatest common factor, 3s-1.

(3s-1)(s+3)

Factor 3s^2+8s-3