Factor
\frac{\left(x-2\right)\left(x^{2}-2x+20\right)}{2}
Evaluate
\frac{\left(x-2\right)\left(x^{2}-2x+20\right)}{2}
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\frac{x^{3}-4x^{2}+24x-40}{2}
Factor out \frac{1}{2}.
\left(x-2\right)\left(x^{2}-2x+20\right)
Consider x^{3}-4x^{2}+24x-40. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -40 and q divides the leading coefficient 1. One such root is 2. Factor the polynomial by dividing it by x-2.
\frac{\left(x-2\right)\left(x^{2}-2x+20\right)}{2}
Rewrite the complete factored expression. Polynomial x^{2}-2x+20 is not factored since it does not have any rational roots.
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