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