Find roots of polynomial $$ p(x) = t^3-5t^2+6t+8 $$
Answer
The roots of polynomial $ p(t) $ are:
$$ \begin{aligned}t_1 &= -0.7674\\[1 em]t_2 &= 2.8837+1.4526i\\[1 em]t_3 &= 2.8837-1.4526i \end{aligned} $$Explanation
Polynomial $ t^3-5t^2+6t+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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