Factor
\left(3x+1\right)\left(81x^{4}-27x^{3}+9x^{2}-3x+1\right)
Evaluate
243x^{5}+1
Graph
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\left(3x+1\right)\left(81x^{4}-27x^{3}+9x^{2}-3x+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 243. One such root is -\frac{1}{3}. Factor the polynomial by dividing it by 3x+1. Polynomial 81x^{4}-27x^{3}+9x^{2}-3x+1 is not factored since it does not have any rational roots.
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