Find roots of polynomial $$ p(x) = 24x^5+10x^4+4x^3+3x^2+18x+9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5061\\[1 em]x_2 &= 0.6375+0.7028i\\[1 em]x_3 &= 0.6375-0.7028i\\[1 em]x_4 &= -0.5928+0.6869i\\[1 em]x_5 &= -0.5928-0.6869i \end{aligned} $$Explanation
Polynomial $ 24x^5+10x^4+4x^3+3x^2+18x+9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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