Find roots of polynomial $$ p(x) = 2x^4+8x^3+9x^2-8x-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8614\\[1 em]x_2 &= -0.5521\\[1 em]x_3 &= -2.1546+1.2906i\\[1 em]x_4 &= -2.1546-1.2906i \end{aligned} $$Explanation
Polynomial $ 2x^4+8x^3+9x^2-8x-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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