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3x^{5}-\frac{18x^{3}}{3}+\frac{24x^{2}}{2}-10x
Divide 15x^{5} by 5 to get 3x^{5}.
3x^{5}-6x^{3}+\frac{24x^{2}}{2}-10x
Divide 18x^{3} by 3 to get 6x^{3}.
3x^{5}-6x^{3}+12x^{2}-10x
Divide 24x^{2} by 2 to get 12x^{2}.
x\left(3x^{4}-6x^{2}+12x-10\right)
Factor out x. Polynomial 3x^{4}-6x^{2}+12x-10 is not factored since it does not have any rational roots.