4y2+5y-6

Factor 5 out of 5y.

4y2+5(y)-6

Rewrite 5 as -3 plus 8

4y2+(-3+8)y-6

Apply the distributive property.

4y2-3y+8y-6

4y2-3y+8y-6

Group the first two terms and the last two terms.

(4y2-3y)+8y-6

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

y(4y-3)+2(4y-3)

y(4y-3)+2(4y-3)

Factor the polynomial by factoring out the greatest common factor, 4y-3.

(4y-3)(y+2)

Factor 4y^2+5y-6