Find roots of polynomial $$ p(x) = 6x^5-5x^4-24x^3-2x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2659\\[1 em]x_2 &= -1.6642\\[1 em]x_3 &= 2.4702\\[1 em]x_4 &= -0.1193+0.3718i\\[1 em]x_5 &= -0.1193-0.3718i \end{aligned} $$Explanation
Polynomial $ 6x^5-5x^4-24x^3-2x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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