Find roots of polynomial $$ p(x) = 2x^5+15x^4+24x^3+2x+5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6243\\[1 em]x_2 &= -2.3085\\[1 em]x_3 &= -5.1794\\[1 em]x_4 &= 0.3061+0.4911i\\[1 em]x_5 &= 0.3061-0.4911i \end{aligned} $$Explanation
Polynomial $ 2x^5+15x^4+24x^3+2x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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