Factor
\left(2m+1\right)\left(16m^{4}-8m^{3}+4m^{2}-2m+1\right)
Evaluate
32m^{5}+1
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\left(2m+1\right)\left(16m^{4}-8m^{3}+4m^{2}-2m+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 32. One such root is -\frac{1}{2}. Factor the polynomial by dividing it by 2m+1. Polynomial 16m^{4}-8m^{3}+4m^{2}-2m+1 is not factored since it does not have any rational roots.
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