Factor 12w+7w^3-5w^6

$12 w + 7 w^{3} - 5 w^{6}$

Step 1

Reorder the expression.

Move $12 w$ .

$7 w^{3} - 5 w^{6} + 12 w$

Reorder $7 w^{3}$ and $- 5 w^{6}$ .

$- 5 w^{6} + 7 w^{3} + 12 w$

Step 2

Factor $- w$ out of $- 5 w^{6}$ .

$- w (5 w^{5}) + 7 w^{3} + 12 w$

Step 3

Factor $- w$ out of $7 w^{3}$ .

$- w (5 w^{5}) - w (- 7 w^{2}) + 12 w$

Step 4

Factor $- w$ out of $12 w$ .

$- w (5 w^{5}) - w (- 7 w^{2}) - w (- 12)$

Step 5

Factor $- w$ out of $- w (5 w^{5}) - w (- 7 w^{2})$ .

$- w (5 w^{5} - 7 w^{2}) - w (- 12)$

Step 6

Factor $- w$ out of $- w (5 w^{5} - 7 w^{2}) - w (- 12)$ .

$- w (5 w^{5} - 7 w^{2} - 12)$