Find roots of polynomial $$ p(x) = x^5-3x^4+4x^3+10x^2+5x-10 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.7348\\[1 em]x_2 &= -0.9824+0.7214i\\[1 em]x_3 &= -0.9824-0.7214i\\[1 em]x_4 &= 2.115+2.1652i\\[1 em]x_5 &= 2.115-2.1652i \end{aligned} $$Explanation
Polynomial $ x^5-3x^4+4x^3+10x^2+5x-10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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