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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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