Factor
\left(3r-2\right)\left(-9r^{2}-6r-4\right)
Evaluate
8-27r^{3}
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\left(3r-2\right)\left(-9r^{2}-6r-4\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 8 and q divides the leading coefficient -27. One such root is \frac{2}{3}. Factor the polynomial by dividing it by 3r-2. Polynomial -9r^{2}-6r-4 is not factored since it does not have any rational roots.
Examples
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Matrix
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