Find roots of polynomial $$ p(x) = x^5+7x^4-18x^3+22x^2+13x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -9.2001\\[1 em]x_2 &= -0.2385+0.1959i\\[1 em]x_3 &= -0.2385-0.1959i\\[1 em]x_4 &= 1.3385+1.2773i\\[1 em]x_5 &= 1.3385-1.2773i \end{aligned} $$Explanation
Polynomial $ x^5+7x^4-18x^3+22x^2+13x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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