Find roots of polynomial $$ p(x) = -8x^3+30x^2-64x+60 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.6545\\[1 em]x_2 &= 1.0477+1.8534i\\[1 em]x_3 &= 1.0477-1.8534i \end{aligned} $$Explanation
Polynomial $ -8x^3+30x^2-64x+60 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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