Factor by Grouping 4w^3+5w^2+24w+30

$4 w^{3} + 5 w^{2} + 24 w + 30$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 w^{3} + 5 w^{2}) + 24 w + 30$

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

$w^{2} (4 w + 5) + 6 (4 w + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 w + 5$ .

$(4 w + 5) (w^{2} + 6)$