Find roots of polynomial $$ p(x) = 12x^5+2x^3-7x-8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0164\\[1 em]x_2 &= 0.1744+1.011i\\[1 em]x_3 &= 0.1744-1.011i\\[1 em]x_4 &= -0.6825+0.3967i\\[1 em]x_5 &= -0.6825-0.3967i \end{aligned} $$Explanation
Polynomial $ 12x^5+2x^3-7x-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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