Find roots of polynomial $$ p(x) = 5x^3-49x^2+24x-108 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 9.5342\\[1 em]x_2 &= 0.1329+1.4993i\\[1 em]x_3 &= 0.1329-1.4993i \end{aligned} $$Explanation
Polynomial $ 5x^3-49x^2+24x-108 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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