Factor 2j^2+2j+3j+3

$2 j^{2} + 2 j + 3 j + 3$

Step 1

Reorder terms.

$2 j^{2} + 3 j + 2 j + 3$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 j^{2} + 3 j) + 2 j + 3$

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

$j (2 j + 3) + 1 (2 j + 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 j + 3$ .

$(2 j + 3) (j + 1)$