Factor
\left(4b-1\right)\left(-16b^{2}-4b-1\right)
Evaluate
1-64b^{3}
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\left(4b-1\right)\left(-16b^{2}-4b-1\right)
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 -64. One such root is \frac{1}{4}. Factor the polynomial by dividing it by 4b-1. Polynomial -16b^{2}-4b-1 is not factored since it does not have any rational roots.
Examples
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Matrix
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