Factor
3\left(2x-1\right)\left(-4x^{2}-2x-1\right)
Evaluate
3-24x^{3}
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3\left(1-8x^{3}\right)
Factor out 3.
\left(2x-1\right)\left(-4x^{2}-2x-1\right)
Consider 1-8x^{3}. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 1 and q divides the leading coefficient -8. One such root is \frac{1}{2}. Factor the polynomial by dividing it by 2x-1.
3\left(2x-1\right)\left(-4x^{2}-2x-1\right)
Rewrite the complete factored expression. Polynomial -4x^{2}-2x-1 is not factored since it does not have any rational roots.
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Limits
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