Find roots of polynomial $$ p(x) = x^3-14x^2+217x+152 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6701\\[1 em]x_2 &= 7.3351+13.154i\\[1 em]x_3 &= 7.3351-13.154i \end{aligned} $$Explanation
Polynomial $ x^3-14x^2+217x+152 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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