Find roots of polynomial $$ p(x) = -5x^3+3x^2+100x-2500 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -8.5601\\[1 em]x_2 &= 4.58+6.1183i\\[1 em]x_3 &= 4.58-6.1183i \end{aligned} $$Explanation
Polynomial $ -5x^3+3x^2+100x-2500 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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