Find roots of polynomial $$ p(x) = 12x^5+8x^3-9x-8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.9565\\[1 em]x_2 &= -0.6004+0.3881i\\[1 em]x_3 &= -0.6004-0.3881i\\[1 em]x_4 &= 0.1221+1.1614i\\[1 em]x_5 &= 0.1221-1.1614i \end{aligned} $$Explanation
Polynomial $ 12x^5+8x^3-9x-8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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