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-2x^{3}-6x+8
Multiply and combine like terms.
2\left(-x^{3}-3x+4\right)
Factor out 2.
\left(x-1\right)\left(-x^{2}-x-4\right)
Consider -x^{3}-3x+4. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 4 and q divides the leading coefficient -1. One such root is 1. Factor the polynomial by dividing it by x-1.
2\left(x-1\right)\left(-x^{2}-x-4\right)
Rewrite the complete factored expression. Polynomial -x^{2}-x-4 is not factored since it does not have any rational roots.
-2x^{3}-6x+8
Combine x^{3} and -3x^{3} to get -2x^{3}.