Evaluate
2\left(6+4w+w^{2}-3w^{3}\right)
Factor
2\left(6+4w+w^{2}-3w^{3}\right)
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5w^{2}+5-6w^{3}+5w-3w^{2}+7+3w
Combine 3w^{3} and -9w^{3} to get -6w^{3}.
2w^{2}+5-6w^{3}+5w+7+3w
Combine 5w^{2} and -3w^{2} to get 2w^{2}.
2w^{2}+12-6w^{3}+5w+3w
Add 5 and 7 to get 12.
2w^{2}+12-6w^{3}+8w
Combine 5w and 3w to get 8w.
-6w^{3}+2w^{2}+8w+12
Multiply and combine like terms.
2\left(-3w^{3}+w^{2}+4w+6\right)
Factor out 2. Polynomial -3w^{3}+w^{2}+4w+6 is not factored since it does not have any rational roots.
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