Factor
\left(2z-3\right)\left(-16z^{4}-24z^{3}-36z^{2}-54z-81\right)
Evaluate
243-32z^{5}
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\left(2z-3\right)\left(-16z^{4}-24z^{3}-36z^{2}-54z-81\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 243 and q divides the leading coefficient -32. One such root is \frac{3}{2}. Factor the polynomial by dividing it by 2z-3. Polynomial -16z^{4}-24z^{3}-36z^{2}-54z-81 is not factored since it does not have any rational roots.
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