Factor
2\left(2x-9\right)\left(x^{2}-9x+19\right)
Evaluate
2\left(2x-9\right)\left(x^{2}-9x+19\right)
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2\left(2x^{3}-27x^{2}+119x-171\right)
Factor out 2.
\left(2x-9\right)\left(x^{2}-9x+19\right)
Consider 2x^{3}-27x^{2}+119x-171. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -171 and q divides the leading coefficient 2. One such root is \frac{9}{2}. Factor the polynomial by dividing it by 2x-9.
2\left(2x-9\right)\left(x^{2}-9x+19\right)
Rewrite the complete factored expression. Polynomial x^{2}-9x+19 is not factored since it does not have any rational roots.
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Limits
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