Find roots of polynomial $$ p(x) = x^3+3x^2+5x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5466\\[1 em]x_2 &= -1.2267+1.4677i\\[1 em]x_3 &= -1.2267-1.4677i \end{aligned} $$Explanation
Polynomial $ x^3+3x^2+5x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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