Find roots of polynomial $$ p(x) = -x^4+10x^3-35x^2+56x-24 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6419\\[1 em]x_2 &= 5.1238\\[1 em]x_3 &= 2.1172+1.6778i\\[1 em]x_4 &= 2.1172-1.6778i \end{aligned} $$Explanation
Polynomial $ -x^4+10x^3-35x^2+56x-24 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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