Find roots of polynomial $$ p(x) = 8x^3-3x^2+5x+15 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9708\\[1 em]x_2 &= 0.6729+1.216i\\[1 em]x_3 &= 0.6729-1.216i \end{aligned} $$Explanation
Polynomial $ 8x^3-3x^2+5x+15 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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