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