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\left(x-3\right)\left(3x^{2}+10x+30\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -90 and q divides the leading coefficient 3. One such root is 3. Factor the polynomial by dividing it by x-3. Polynomial 3x^{2}+10x+30 is not factored since it does not have any rational roots.