Find roots of polynomial $$ p(x) = x^4-10x^3+39x^2-72x-54 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5568\\[1 em]x_2 &= 5.653\\[1 em]x_3 &= 2.4519+3.3384i\\[1 em]x_4 &= 2.4519-3.3384i \end{aligned} $$Explanation
Polynomial $ x^4-10x^3+39x^2-72x-54 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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