Factor by Grouping 2u^3-7u^2-10u+35

$2 u^{3} - 7 u^{2} - 10 u + 35$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 u^{3} - 7 u^{2}) - 10 u + 35$

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

$u^{2} (2 u - 7) - 5 (2 u - 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 u - 7$ .

$(2 u - 7) (u^{2} - 5)$