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10x^{3}+4-4x^{4}-4x^{4}+2x
Combine 7x^{3} and 3x^{3} to get 10x^{3}.
10x^{3}+4-8x^{4}+2x
Combine -4x^{4} and -4x^{4} to get -8x^{4}.
-8x^{4}+10x^{3}+2x+4
Multiply and combine like terms.
2\left(-4x^{4}+5x^{3}+x+2\right)
Factor out 2. Polynomial -4x^{4}+5x^{3}+x+2 is not factored since it does not have any rational roots.