Find roots of polynomial $$ p(x) = 2x^4+13x^3-19x^2+6x+8 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4614\\[1 em]x_2 &= -7.7647\\[1 em]x_3 &= 0.8631+0.6096i\\[1 em]x_4 &= 0.8631-0.6096i \end{aligned} $$Explanation
Polynomial $ 2x^4+13x^3-19x^2+6x+8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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