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4-17v-6v^{2}-4-2v^{3}
Combine -5v and -12v to get -17v.
-17v-6v^{2}-2v^{3}
Subtract 4 from 4 to get 0.
-2v^{3}-6v^{2}-17v
Multiply and combine like terms.
v\left(-2v^{2}-6v-17\right)
Factor out v. Polynomial -2v^{2}-6v-17 is not factored since it does not have any rational roots.