Find roots of polynomial $$ p(x) = x^5+4x^4-58x^3-300x^2-58x-296 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 8.0392\\[1 em]x_2 &= -0.0009+0.9871i\\[1 em]x_3 &= -0.0009-0.9871i\\[1 em]x_4 &= -6.0187+1.2508i\\[1 em]x_5 &= -6.0187-1.2508i \end{aligned} $$Explanation
Polynomial $ x^5+4x^4-58x^3-300x^2-58x-296 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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