Find roots of polynomial $$ p(x) = 3x^5+2x^4+x^3-x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8398\\[1 em]x_2 &= -0.8099+0.4848i\\[1 em]x_3 &= -0.8099-0.4848i\\[1 em]x_4 &= 0.0567+0.9422i\\[1 em]x_5 &= 0.0567-0.9422i \end{aligned} $$Explanation
Polynomial $ 3x^5+2x^4+x^3-x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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