Find roots of polynomial $$ p(x) = 3x^5+7x^4-3x^3-2x^2+8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.6672\\[1 em]x_2 &= 0.8144+0.568i\\[1 em]x_3 &= 0.8144-0.568i\\[1 em]x_4 &= -0.6475+0.7712i\\[1 em]x_5 &= -0.6475-0.7712i \end{aligned} $$Explanation
Polynomial $ 3x^5+7x^4-3x^3-2x^2+8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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