Find roots of polynomial $$ p(x) = 6x^5-5x^4+4x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.554\\[1 em]x_2 &= -0.3155+0.7399i\\[1 em]x_3 &= -0.3155-0.7399i\\[1 em]x_4 &= 1.0091+0.6137i\\[1 em]x_5 &= 1.0091-0.6137i \end{aligned} $$Explanation
Polynomial $ 6x^5-5x^4+4x+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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