Find roots of polynomial $$ p(x) = -x^3-9x^2-75x+293 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.7356\\[1 em]x_2 &= -5.8678+8.5249i\\[1 em]x_3 &= -5.8678-8.5249i \end{aligned} $$Explanation
Polynomial $ -x^3-9x^2-75x+293 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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