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\frac{15x^{3}-7x^{2}+45x}{5}
Factor out \frac{1}{5}.
x\left(15x^{2}-7x+45\right)
Consider 15x^{3}-7x^{2}+45x. Factor out x.
\frac{x\left(15x^{2}-7x+45\right)}{5}
Rewrite the complete factored expression. Polynomial 15x^{2}-7x+45 is not factored since it does not have any rational roots.