Factor
\left(3a-4\right)\left(-9a^{2}-12a-16\right)
Evaluate
64-27a^{3}
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\left(3a-4\right)\left(-9a^{2}-12a-16\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 64 and q divides the leading coefficient -27. One such root is \frac{4}{3}. Factor the polynomial by dividing it by 3a-4. Polynomial -9a^{2}-12a-16 is not factored since it does not have any rational roots.
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