Factor
\left(a+3\right)\left(a^{6}-3a^{5}+9a^{4}-27a^{3}+81a^{2}-243a+729\right)
Evaluate
a^{7}+2187
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\left(a+3\right)\left(a^{6}-3a^{5}+9a^{4}-27a^{3}+81a^{2}-243a+729\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 2187 and q divides the leading coefficient 1. One such root is -3. Factor the polynomial by dividing it by a+3. Polynomial a^{6}-3a^{5}+9a^{4}-27a^{3}+81a^{2}-243a+729 is not factored since it does not have any rational roots.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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