Find roots of polynomial $$ p(x) = 3x^5-7x^4+4x^2+5x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.8524\\[1 em]x_2 &= 0.9905+0.3347i\\[1 em]x_3 &= 0.9905-0.3347i\\[1 em]x_4 &= -0.75+0.652i\\[1 em]x_5 &= -0.75-0.652i \end{aligned} $$Explanation
Polynomial $ 3x^5-7x^4+4x^2+5x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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