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5x+3x-x^{4}-8x^{4}
Combine 2x and 3x to get 5x.
8x-x^{4}-8x^{4}
Combine 5x and 3x to get 8x.
8x-9x^{4}
Combine -x^{4} and -8x^{4} to get -9x^{4}.
x\left(8-9x^{3}\right)
Factor out x. Polynomial -9x^{3}+8 is not factored since it does not have any rational roots.