Factor
\left(c-6\right)\left(-c^{2}-6c-36\right)
Evaluate
216-c^{3}
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-c^{3}+216
Multiply and combine like terms.
\left(c-6\right)\left(-c^{2}-6c-36\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 216 and q divides the leading coefficient -1. One such root is 6. Factor the polynomial by dividing it by c-6. Polynomial -c^{2}-6c-36 is not factored since it does not have any rational roots.
216-c^{3}
Calculate 6 to the power of 3 and get 216.
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