Find roots of polynomial $$ p(x) = x^5+14x^4+85x^3+225x^2+274x+120 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9661\\[1 em]x_2 &= -1.664+0.7831i\\[1 em]x_3 &= -1.664-0.7831i\\[1 em]x_4 &= -4.8529+3.6295i\\[1 em]x_5 &= -4.8529-3.6295i \end{aligned} $$Explanation
Polynomial $ x^5+14x^4+85x^3+225x^2+274x+120 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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