Find roots of polynomial $$ p(x) = a^3-a^2-4a+8 $$
Answer
The roots of polynomial $ p(a) $ are:
$$ \begin{aligned}a_1 &= -2.2843\\[1 em]a_2 &= 1.6421+0.8975i\\[1 em]a_3 &= 1.6421-0.8975i \end{aligned} $$Explanation
Polynomial $ a^3-a^2-4a+8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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