Factor by Grouping 3x^3+5x^2+6x+10

$3 x^{3} + 5 x^{2} + 6 x + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} + 5 x^{2}) + 6 x + 10$

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

$x^{2} (3 x + 5) + 2 (3 x + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x + 5$ .

$(3 x + 5) (x^{2} + 2)$