Find roots of polynomial $$ p(x) = -6x^5-5x^4-9x^3-4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7714\\[1 em]x_2 &= 0.4384+0.5382i\\[1 em]x_3 &= 0.4384-0.5382i\\[1 em]x_4 &= -0.4694+1.2543i\\[1 em]x_5 &= -0.4694-1.2543i \end{aligned} $$Explanation
Polynomial $ -6x^5-5x^4-9x^3-4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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