Find roots of polynomial $$ p(x) = 2x^5+3x^4+2x^3+3x^2+2x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.3307\\[1 em]x_2 &= 0.3284+0.8899i\\[1 em]x_3 &= 0.3284-0.8899i\\[1 em]x_4 &= -0.4131+0.4969i\\[1 em]x_5 &= -0.4131-0.4969i \end{aligned} $$Explanation
Polynomial $ 2x^5+3x^4+2x^3+3x^2+2x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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