Find roots of polynomial $$ p(x) = -x^5+5x^4+5x^3+9x^2+7x-4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3602\\[1 em]x_2 &= -1.0443\\[1 em]x_3 &= 6.0914\\[1 em]x_4 &= -0.2036+1.3056i\\[1 em]x_5 &= -0.2036-1.3056i \end{aligned} $$Explanation
Polynomial $ -x^5+5x^4+5x^3+9x^2+7x-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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